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Annihilator conditions and generalized derivations in prime rings 素环上的湮灭子条件和广义导数
Annali dell''Universita di Ferrara Pub Date : 2025-05-25 DOI: 10.1007/s11565-025-00597-x
B. Dhara, S. Kar, S. Ghosh
{"title":"Annihilator conditions and generalized derivations in prime rings","authors":"B. Dhara,&nbsp;S. Kar,&nbsp;S. Ghosh","doi":"10.1007/s11565-025-00597-x","DOIUrl":"10.1007/s11565-025-00597-x","url":null,"abstract":"<div><p>Let <i>R</i> be a prime ring with char <span>((R)ne 2)</span>, <i>I</i> be a nonzero ideal of <i>R</i>, <span>(f(x_1,ldots ,x_n))</span> be a noncentral multilinear polynomial over extended centroid <i>C</i> and <span>(0ne b'in R)</span>. Denote <span>(f(I)={f(t_1,ldots ,t_n) | t_1,ldots ,t_nin I})</span>. Suppose that <i>F</i>, <i>G</i> and <i>H</i> are three generalized derivations on <i>R</i> such that </p><div><div><span>$$begin{aligned} b'Big {FBig (G(V)VBig )-H(V^2)Big }=0 end{aligned}$$</span></div></div><p>for all <span>(Vin f(I))</span>. Then the structure of the maps <i>F</i>, <i>G</i>, <i>H</i> are described. This result naturally generalizes the results obtained by Carini and De Filippis in [Siberian Math. J. 53 (6) (2012), 1051-1060], Dhara and Argac in [Commun. Math. Stat. 4 (2016), 39-54] and completes the incomplete result of Tiwari in [Rend. Circ. Mat. Palermo, II. Ser 71 (2022), 207-223]. At the end of this paper an example is given to show that the primeness condition is not superfluous.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Birational geometry of quaternions 四元数的双对数几何
Annali dell''Universita di Ferrara Pub Date : 2025-05-25 DOI: 10.1007/s11565-025-00595-z
Igor V. Nikolaev
{"title":"Birational geometry of quaternions","authors":"Igor V. Nikolaev","doi":"10.1007/s11565-025-00595-z","DOIUrl":"10.1007/s11565-025-00595-z","url":null,"abstract":"<div><p>The Hilbert class field of the quaternion algebra <i>B</i> is an algebra <span>({mathscr {H}}(B))</span> such that every two-sided ideal of <i>B</i> is principal in <span>({mathscr {H}}(B))</span>. We study the avatars of <i>B</i> and <span>({mathscr {H}}(B))</span>, i.e. algebraic surfaces attached to the quaternion algebras. It is proved that the avatar of <span>({mathscr {H}}(B))</span> is obtained from the avatar of <i>B</i> by a birational map. We apply this result to the analogy between number fields and function fields.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequalities involving polar derivative and N-operator 涉及极导数和n算子的不等式
Annali dell''Universita di Ferrara Pub Date : 2025-05-14 DOI: 10.1007/s11565-025-00594-0
F. A. Bhat
{"title":"Inequalities involving polar derivative and N-operator","authors":"F. A. Bhat","doi":"10.1007/s11565-025-00594-0","DOIUrl":"10.1007/s11565-025-00594-0","url":null,"abstract":"<div><p>In this paper, we obtain some inequalities involving linear differential operator <i>N</i> for polynomials over complex domain and study the dependence of modulus of <span>(P(Rz)-beta P(rz)+delta { (frac{R+1}{r+1})^n-|beta |}P(rz))</span> for all complex numbers <span>(alpha , beta )</span> and <span>( delta )</span> with <span>(|alpha |ge 1, |beta |le 1, |delta |le 1)</span> on the extreme values of |<i>P</i>(<i>z</i>)| over the boundary of unit circle after successive applications of <span>(D_{alpha })</span> and <i>N</i>. Our results besides yielding some interesting inequalities as special cases also generalize recently obtained inequalities related to the content.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized derivations with center-like subsets in prime rings 素环上类中心子集的广义导数
Annali dell''Universita di Ferrara Pub Date : 2025-05-07 DOI: 10.1007/s11565-025-00592-2
Ahmed Aboubakr
{"title":"Generalized derivations with center-like subsets in prime rings","authors":"Ahmed Aboubakr","doi":"10.1007/s11565-025-00592-2","DOIUrl":"10.1007/s11565-025-00592-2","url":null,"abstract":"<div><p>This research introduces novel center-like subsets, denoted as <span>(C^{star }_{1} (mathfrak {S}, Gamma ))</span>, <span>(C_{2} (mathfrak {S}, Gamma ))</span>, and <span>(C^{star }_{2} (mathfrak {S}, Gamma ))</span>, where <span>(mathfrak {S})</span> represents the ring and <span>(Gamma )</span> denoted the (L,R)-generalized derivation. The study presents an innovative derivation for previously established center-like subsets and examines the interrelationships between these sets. Moreover, this investigation extends existing theorems by employing (L,R)-generalized derivations, in contrast to the conventional derivations utilized in prior research. The work also provides original proofs for a variety of center-like sets. To substantiate the necessity of the proposed hypotheses, the paper is supplemented with illustrative examples.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143919261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a nonlinear partial differential equation with a (pleft( .right) )-triharmonic operator 具有(pleft( .right) ) -三调和算子的非线性偏微分方程
Annali dell''Universita di Ferrara Pub Date : 2025-04-30 DOI: 10.1007/s11565-025-00593-1
Ismail Aydın, Khaled Kefi
{"title":"On a nonlinear partial differential equation with a (pleft( .right) )-triharmonic operator","authors":"Ismail Aydın,&nbsp;Khaled Kefi","doi":"10.1007/s11565-025-00593-1","DOIUrl":"10.1007/s11565-025-00593-1","url":null,"abstract":"<div><p>We study the following <span>(pleft( .right) )</span>-triharmonic problem </p><div><div><span>$$begin{aligned} left{ begin{array}{cc} Delta _{p(.)}^{3}u+a(x)left| uright| ^{p(x)-2}u=lambda (V_{1}(x)left| uright| ^{q(x)-2}u-V_{2}(x)left| uright| ^{alpha (x)-2}u), &amp; text {in }Omega left| nabla Delta uright| ^{p(x)-2}frac{partial u}{partial upsilon }+beta (x)left| uright| ^{p(x)-2}u=0, &amp; text {on } partial Omega ,end{array} right. end{aligned}$$</span></div></div><p>where <span>(Omega )</span> is a smooth bounded domain in <span>( mathbb {R} ^N)</span>, and <span>(lambda &gt;0)</span> is a parameter. Using some variational methods and compact embedding results for variable exponent third-order Sobolev space, we obtain the existence of weak solutions for the problem.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-025-00593-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exponential decay for a porous elastic truncated model with time delay effects 具有时间延迟效应的多孔弹性截断模型的指数衰减
Annali dell''Universita di Ferrara Pub Date : 2025-04-21 DOI: 10.1007/s11565-025-00589-x
Dilberto da Silva Almeida Júnior, Anderson de Jesus Araújo Ramos, Mirelson Martins Freitas, Baowei Feng, Luiz Gutemberg Rosário Miranda
{"title":"Exponential decay for a porous elastic truncated model with time delay effects","authors":"Dilberto da Silva Almeida Júnior,&nbsp;Anderson de Jesus Araújo Ramos,&nbsp;Mirelson Martins Freitas,&nbsp;Baowei Feng,&nbsp;Luiz Gutemberg Rosário Miranda","doi":"10.1007/s11565-025-00589-x","DOIUrl":"10.1007/s11565-025-00589-x","url":null,"abstract":"<div><p>In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of optimum solution of the fractional integral equation via measure of noncompactness 分数阶积分方程非紧性测度的最优解的存在性
Annali dell''Universita di Ferrara Pub Date : 2025-04-12 DOI: 10.1007/s11565-025-00590-4
Mallika Sarmah, Anupam Das, Dipak Sarma
{"title":"Existence of optimum solution of the fractional integral equation via measure of noncompactness","authors":"Mallika Sarmah,&nbsp;Anupam Das,&nbsp;Dipak Sarma","doi":"10.1007/s11565-025-00590-4","DOIUrl":"10.1007/s11565-025-00590-4","url":null,"abstract":"<div><p>In this paper, we establish a best proximity point theorem by using a newly defined condensing operator, and we applied the results to investigate the optimum solution of a system of fractional integral equations followed by an example.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A stability result of a one-dimensional coupled system of wave equations with Fourier heat conduction 一维傅里叶热传导波动方程耦合系统的稳定性结果
Annali dell''Universita di Ferrara Pub Date : 2025-04-11 DOI: 10.1007/s11565-025-00591-3
Hizia Bounadja, Oumkeltoum Benhamouda, Salim Messaoudi
{"title":"A stability result of a one-dimensional coupled system of wave equations with Fourier heat conduction","authors":"Hizia Bounadja,&nbsp;Oumkeltoum Benhamouda,&nbsp;Salim Messaoudi","doi":"10.1007/s11565-025-00591-3","DOIUrl":"10.1007/s11565-025-00591-3","url":null,"abstract":"<div><p>In this work, we consider a coupled system of two wave equations with only one thermal effect in a one-dimensional domain. We give the well-posedness using the semigroup theory and show that the solution of the system decays polynomially by constructing an appropriate Lyapunov function.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A study on pure closed submodules 纯闭子模的研究
Annali dell''Universita di Ferrara Pub Date : 2025-04-05 DOI: 10.1007/s11565-025-00588-y
Alaa Abdul Azeez Abdul Ameer, Muna Abbas Ahmed
{"title":"A study on pure closed submodules","authors":"Alaa Abdul Azeez Abdul Ameer,&nbsp;Muna Abbas Ahmed","doi":"10.1007/s11565-025-00588-y","DOIUrl":"10.1007/s11565-025-00588-y","url":null,"abstract":"<div><p>Nada M. Al-Thani introduced pure closed submodules without adding any details about the behavior of this kind of submodule. The main goal of this paper is to study and develop pure closed submodules. We introduced several results that are analogous to those in the closed submodule. Besides that, we study pure closed submodules in multiplication modules. Also, the relationships of pure closed submodules with <span>(St)</span>-closed and <span>(W)</span>-closed submodules are investigated. Moreover, ACC on pure closed submodules is discussed.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
q-Legendre based Gould–Hopper polynomials and q-operational methods 基于q-Legendre的Gould-Hopper多项式和q-运算方法
Annali dell''Universita di Ferrara Pub Date : 2025-04-03 DOI: 10.1007/s11565-025-00587-z
Fadel Mohammed, William Ramírez, Clemente Cesarano, Stiven Díaz
{"title":"q-Legendre based Gould–Hopper polynomials and q-operational methods","authors":"Fadel Mohammed,&nbsp;William Ramírez,&nbsp;Clemente Cesarano,&nbsp;Stiven Díaz","doi":"10.1007/s11565-025-00587-z","DOIUrl":"10.1007/s11565-025-00587-z","url":null,"abstract":"<div><p>The generalization of the monomiality principle for <i>q</i>-special polynomials has just been explained and demonstrated. This extension is used to study the monomiality features of the number of <i>q</i>-special polynomials, such as <i>q</i>-Appell polynomials, <i>q</i>-Gould–Hopper polynomials, two variables <i>q</i>-Hermite, <i>q</i>-Laguerre and <i>q</i>-Legendre polynomials. Additionally, several kinds of hybrid <i>q</i>-special polynomials and their monomiality features are studied, such as two-variable <i>q</i>-Laguerre-Appell polynomials, two-variable based <i>q</i>-Hermite-Appell polynomials and <i>q</i>-Gould–Hopper–Appell polynomials. This study seeks to generate the <i>q</i>-Legendre–Gould–Hopper polynomials and then describe their attributes by extending the idea of monomiality for <i>q</i>-polynomials. Furthermore, we propose operational representations, expansion formulae and new families of these polynomials with the aid of <i>q</i>-operational methods and extension for monomiality principle of <i>q</i>-polynomials.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-025-00587-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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