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Annali dell''Universita di Ferrara最新文献

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A note on Cline’s formula for some generalized inverses in a ring 克莱因关于环中某些广义倒数公式的说明
Annali dell''Universita di Ferrara Pub Date : 2024-07-13 DOI: 10.1007/s11565-024-00539-z
Soufiane Hadji
{"title":"A note on Cline’s formula for some generalized inverses in a ring","authors":"Soufiane Hadji","doi":"10.1007/s11565-024-00539-z","DOIUrl":"10.1007/s11565-024-00539-z","url":null,"abstract":"<div><p>In this note, we generalize Cline’s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse, Hirano inverse and generalized Hirano inverse. As a particular case, some recent results on this subject are recovered.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1731 - 1745"},"PeriodicalIF":0.0,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141651062","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
Global and blow-up results for a quasilinear parabolic equation with variable sources and memory terms 具有可变源和记忆项的准线性抛物方程的全局和炸毁结果
Annali dell''Universita di Ferrara Pub Date : 2024-07-08 DOI: 10.1007/s11565-024-00538-0
Touil Nadji, Abita Rahmoune
{"title":"Global and blow-up results for a quasilinear parabolic equation with variable sources and memory terms","authors":"Touil Nadji,&nbsp;Abita Rahmoune","doi":"10.1007/s11565-024-00538-0","DOIUrl":"10.1007/s11565-024-00538-0","url":null,"abstract":"<div><p>The paper presents a general model of quasi-linear parabolic equations with variable exponents for the source and dissipative term types </p><div><div><span>$$begin{aligned} textrm{L}left( tright) left| u_{t}right| ^{mleft( xright) -2}u_{t}-Delta u+int _{0}^{t}g(t-s)Delta u(x,s)textrm{d}s=left| uright| ^{pleft( xright) -2}u. end{aligned}$$</span></div></div><p>When <span>(p(x)ge m(x)ge 2)</span>, the matrix <span>(textrm{L}(t))</span> is both positive definite and bounded, while the function <i>g</i> is continuously differentiable and decays over time. The paper shows that the blow-up result occurs at two different finite times and provides an upper bound for the blow-up time. Finally, it establishes that the energy function decays globally for solutions, with both positive and negative initial energy.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1697 - 1729"},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141668596","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
Characterization of ((alpha ,beta )) biderivations in triangular algebras 三角代数中$$(alpha,beta)$$双分维的特征
Annali dell''Universita di Ferrara Pub Date : 2024-07-02 DOI: 10.1007/s11565-024-00536-2
Wasim Ahmed, Mohd Shuaib Akhtar, Muzibur Rahman Mozumder
{"title":"Characterization of ((alpha ,beta )) biderivations in triangular algebras","authors":"Wasim Ahmed,&nbsp;Mohd Shuaib Akhtar,&nbsp;Muzibur Rahman Mozumder","doi":"10.1007/s11565-024-00536-2","DOIUrl":"10.1007/s11565-024-00536-2","url":null,"abstract":"<div><p>In this paper we have define <span>((alpha ,beta ))</span>-biderivation on triangular algebra <span>(mathcal {A})</span> and characterize some result on triangular algebras. Apart from that, in Theorem 3.5, we show that any map on <span>(mathcal {A} times mathcal {A} rightarrow mathcal {A})</span> becomes <span>((alpha ,alpha ))</span>-biderivation after imposing certain conditions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1687 - 1696"},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141686933","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
Publisher Correction to: A class of semilinear hypoelliptic Robin problems and Morse theory 出版商更正为：一类半线性次椭圆罗宾问题和莫尔斯理论
Annali dell''Universita di Ferrara Pub Date : 2024-06-28 DOI: 10.1007/s11565-024-00537-1
Kazuaki Taira
{"title":"Publisher Correction to: A class of semilinear hypoelliptic Robin problems and Morse theory","authors":"Kazuaki Taira","doi":"10.1007/s11565-024-00537-1","DOIUrl":"10.1007/s11565-024-00537-1","url":null,"abstract":"","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1607 - 1607"},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414692","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 the birational geometry of ({mathbb {Q}})-Fano threefolds of large Fano index, I 论大法诺指数的（{mathbb {Q}})-Fano threefolds of large Fano index, I
Annali dell''Universita di Ferrara Pub Date : 2024-06-20 DOI: 10.1007/s11565-024-00515-7
Yuri Prokhorov
{"title":"On the birational geometry of ({mathbb {Q}})-Fano threefolds of large Fano index, I","authors":"Yuri Prokhorov","doi":"10.1007/s11565-024-00515-7","DOIUrl":"10.1007/s11565-024-00515-7","url":null,"abstract":"<div><p>We investigate the rationality problem for <span>({mathbb {Q}})</span>-Fano threefolds of Fano index <span>(ge 2)</span>.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"955 - 985"},"PeriodicalIF":0.0,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412641","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
Bounds on tree distribution in number theory 数论中的树分布界限
Annali dell''Universita di Ferrara Pub Date : 2024-06-17 DOI: 10.1007/s11565-024-00535-3
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
{"title":"Bounds on tree distribution in number theory","authors":"Roberto Conti,&nbsp;Pierluigi Contucci,&nbsp;Vitalii Iudelevich","doi":"10.1007/s11565-024-00535-3","DOIUrl":"10.1007/s11565-024-00535-3","url":null,"abstract":"<div><p>By recursively applying the prime decomposition to the exponents, every natural number determines a rooted planar tree in a canonical way. In particular, trees with only one edge correspond to prime numbers. In this work we investigate the occurrence and the distribution of patterns of trees associated to the natural numbers. Bounds from above and below are proven for certain natural quantities. It is proved that the distance between two consecutive occurrences of the same configuration of trees is unbounded. For any <i>k</i>, there is at least one configuration of trees arising from <i>k</i> consecutive integers that occurs infinitely many times. Dirichlet theorem about primes in arithmetic progressions is generalized to any planar rooted tree. The appearence of equal nonplanar trees associated to <i>k</i> consecutive integers is also investigated. Finally, constraints implied by the repeated occurrence of a given configuration of planar trees are analyzed.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1655 - 1685"},"PeriodicalIF":0.0,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412184","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 K-stability of (mathbb {P}^3) blown up along a quintic elliptic curve 论沿着五元椭圆曲线炸开的 $$mathbb {P}^3$$ 的 K 稳定性
Annali dell''Universita di Ferrara Pub Date : 2024-06-05 DOI: 10.1007/s11565-024-00532-6
Ivan Cheltsov, Piotr Pokora
{"title":"On K-stability of (mathbb {P}^3) blown up along a quintic elliptic curve","authors":"Ivan Cheltsov,&nbsp;Piotr Pokora","doi":"10.1007/s11565-024-00532-6","DOIUrl":"10.1007/s11565-024-00532-6","url":null,"abstract":"<div><p>In this note, we study K-stability of smooth Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth elliptic curve of degree five.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1165 - 1192"},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00532-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141385755","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
K-stability of Fano threefolds of rank 3 and degree 14 阶 3 和阶 14 的法诺三维的 K 稳定性
Annali dell''Universita di Ferrara Pub Date : 2024-06-05 DOI: 10.1007/s11565-024-00526-4
Grigory Belousov, Konstantin Loginov
{"title":"K-stability of Fano threefolds of rank 3 and degree 14","authors":"Grigory Belousov,&nbsp;Konstantin Loginov","doi":"10.1007/s11565-024-00526-4","DOIUrl":"10.1007/s11565-024-00526-4","url":null,"abstract":"<div><p>We prove that all general smooth Fano threefolds of Picard rank 3 and degree 14 are K-stable, where the generality condition is stated explicitly.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1093 - 1114"},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410023","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 skew derivations acting as Jordan homomorphism 充当约旦同态的广义偏斜推导
Annali dell''Universita di Ferrara Pub Date : 2024-06-03 DOI: 10.1007/s11565-024-00534-4
Pallavee Gupta, S. K. Tiwari
{"title":"Generalized skew derivations acting as Jordan homomorphism","authors":"Pallavee Gupta,&nbsp;S. K. Tiwari","doi":"10.1007/s11565-024-00534-4","DOIUrl":"10.1007/s11565-024-00534-4","url":null,"abstract":"<div><p>Suppose <span>({mathcal {R}})</span> is a prime ring with characteristic other than two and <span>(nu (s_1,ldots , s_n))</span> is a non-central multilinear polynomial over <span>({mathcal {C}})</span>, which is non-identity. If <span>({mathcal {H}}_1)</span> and <span>({mathcal {H}}_2)</span> are two generalized skew derivations on the ring <span>({mathcal {R}})</span>, satisfying the equation </p><div><div><span>$$begin{aligned} {mathcal {H}}_1({mathcal {H}}_2(nu (s)^2))={mathcal {H}}_2(nu (s))^2 end{aligned}$$</span></div></div><p>for all <span>(s = (s_1, ldots , s_n) in {mathcal {R}}^n.)</span> Then, we provide a comprehensive analysis of the mappings <span>( {mathcal {H}}_1)</span> and <span>({mathcal {H}}_2)</span> outlining their complete structure.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1635 - 1654"},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141268921","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
Effective methods for plane quartics, their theta characteristics and the Scorza map 平面四元数、其 Theta 特性和 Scorza 地图的有效方法
Annali dell''Universita di Ferrara Pub Date : 2024-06-02 DOI: 10.1007/s11565-024-00528-2
Giorgio Ottaviani
{"title":"Effective methods for plane quartics, their theta characteristics and the Scorza map","authors":"Giorgio Ottaviani","doi":"10.1007/s11565-024-00528-2","DOIUrl":"10.1007/s11565-024-00528-2","url":null,"abstract":"<div><p>This is a revised version of the lecture notes prepared for the workshop on “Plane quartics, Scorza map and related topics”, held in Catania, January 19–21, 2016. The last section contains eight Macaulay2 scripts on theta characteristics and the Scorza map, with a tutorial. The first sections give an introduction to these scripts. The tutorial contains a list of the 36 Scorza preimages of the Edge quartic.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1115 - 1153"},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00528-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409433","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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