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On traces of permuting n-derivations on prime ideals 素数理想上的置换n阶导数的迹
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4167
Hajar EL Mir, Badr Nejjar, Lahcen Oukhtite
{"title":"On traces of permuting n-derivations on prime ideals","authors":"Hajar EL Mir, Badr Nejjar, Lahcen Oukhtite","doi":"10.18514/mmn.2023.4167","DOIUrl":"https://doi.org/10.18514/mmn.2023.4167","url":null,"abstract":". In this article we investigate some properties of permuting n-derivations acting on a prime ideal. More precisely, let n ≥ 2 be a fixed positive integer, P be a prime ideal of a ring R such that R / P is ( n + 1 ) !-torsion free. If there exists a permuting n -derivation ∆ : R n −→ R such that the trace δ of ∆ satisfies (cid:2) [ δ ( x ) , x ] , x (cid:3) ∈ Z ( R / P ) for all x ∈ R , then ∆ ( R n ) ⊆ P or R/P is commutative.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135658910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New approaches for m-convex functions via fractional integral operators with strong kernels 利用强核分数积分算子求解m-凸函数的新方法
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4104
Merve Avci Ardıç, Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Anh Tuan Nguyen
{"title":"New approaches for m-convex functions via fractional integral operators with strong kernels","authors":"Merve Avci Ardıç, Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Anh Tuan Nguyen","doi":"10.18514/mmn.2023.4104","DOIUrl":"https://doi.org/10.18514/mmn.2023.4104","url":null,"abstract":". We have established this paper on m − convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m - convex functions. Using this identity, various properties of m − convex functions and classical inequalities, some new integral inequalities have been proved.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135659515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pseudo core invertibility and DMP invertibility in two semigroups of a ring with involution 对合环的两个半群中的伪核可逆性和DMP可逆性
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.3971
Wende Li, Jianlong Chen, Yukun Zhou, Yuanyuan Ke
{"title":"Pseudo core invertibility and DMP invertibility in two semigroups of a ring with involution","authors":"Wende Li, Jianlong Chen, Yukun Zhou, Yuanyuan Ke","doi":"10.18514/mmn.2023.3971","DOIUrl":"https://doi.org/10.18514/mmn.2023.3971","url":null,"abstract":". In 2004, Patr´ıcio and Puystjens characterized the relation between Drazin invertible elements (resp., Moore-Penrose invertible elements) of two semigroups pRp and pRp + 1 − p of a ring R for some idempotent (resp., projection) p ∈ R . In this paper, we consider the relevant result for pseudo core invertible elements of such two semigroups of a ring for some projection, which is then applied to characterize the relation between pseudo core invertible elements of the matrix semigroup AA † R m × m AA † + I m − AA † and the matrix semigroup A † AR n × n A † A + I n − A † A , where A ∈ R m × n with A † existing. Also, similar equivalence involving DMP invertible elements is investigated.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135659527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The determinants of certain double banded (0,1) Toeplitz matrices 一类双带(0,1)Toeplitz矩阵的行列式
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4053
Zhibin Du, Carlos M. da Fonseca
{"title":"The determinants of certain double banded (0,1) Toeplitz matrices","authors":"Zhibin Du, Carlos M. da Fonseca","doi":"10.18514/mmn.2023.4053","DOIUrl":"https://doi.org/10.18514/mmn.2023.4053","url":null,"abstract":". We prove a conjecture proposed recently in Linear Algebra and its Applications about an exact formula for certain double banded ( 0 , 1 ) Toeplitz matrices. Moreover, we extend the result to a more general setting.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence theorems for equations and systems in R^{N} with k_{i}-Hessian operator R^{N}中具有k_{i}-Hessian算子的方程和系统的存在性定理
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4086
Dragos-Patru Covei
{"title":"Existence theorems for equations and systems in R^{N} with k_{i}-Hessian operator","authors":"Dragos-Patru Covei","doi":"10.18514/mmn.2023.4086","DOIUrl":"https://doi.org/10.18514/mmn.2023.4086","url":null,"abstract":". We establish the existence of positive radial entire solutions for nonlinear equations and systems. Our main results obtained with the use of the Schauder-Tychonov fixed point theorem will complete the works of Kusano-Swanson and Holanda.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical solution of fractional Volterra integral equations based on rational Chebyshev approximation 基于有理切比雪夫近似的分数阶Volterra积分方程的数值解
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4291
S. Deniz, F. Özger, Z. Ö. Özger, S. A. Mohiuddine, M. T. Ersoy
{"title":"Numerical solution of fractional Volterra integral equations based on rational Chebyshev approximation","authors":"S. Deniz, F. Özger, Z. Ö. Özger, S. A. Mohiuddine, M. T. Ersoy","doi":"10.18514/mmn.2023.4291","DOIUrl":"https://doi.org/10.18514/mmn.2023.4291","url":null,"abstract":". We aim to give the numerical method for solving the fractional Volterra integral equations of first and second kinds. We here use the techniques based upon rational Chebyshev functions and Riemann-Liouville fractional integrals. Some illustrative experiments with a view of estimating error and graphics are given in order to show the validity and applicability of the technique. Our experiments show that the new technique has high accuracy and is very efficient when compare to the other approaches existing in literature.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
⊕-g-Radical supplemented modules ⊕-g-Radical补充模块
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.3941
Celil Nebiyev
{"title":"⊕-g-Radical supplemented modules","authors":"Celil Nebiyev","doi":"10.18514/mmn.2023.3941","DOIUrl":"https://doi.org/10.18514/mmn.2023.3941","url":null,"abstract":"In this work g-radical supplemented modules are defined and investigated some properties of this modules.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Applications of Horadam polynomials on a new family of bi-prestarlike functions Horadam多项式在一类新的双前星形函数上的应用
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.3300
Abbas Kareem Wanas, Ágnes Orsolya Páll-Szabó
{"title":"Applications of Horadam polynomials on a new family of bi-prestarlike functions","authors":"Abbas Kareem Wanas, Ágnes Orsolya Páll-Szabó","doi":"10.18514/mmn.2023.3300","DOIUrl":"https://doi.org/10.18514/mmn.2023.3300","url":null,"abstract":". In this article, we introduce and investigate a new family of analytic and bi-prestarlike functions by using the Horadam polynomials defined in the open unit disk U . We determine upper bounds for the first two coefficients | a 2 | and | a 3 | and solve Fekete-Szeg˝o problem of functions that belong to this family. Also, we point out several certain special cases for our results.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135658905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
State estimation of memristor-based stochastic neural networks with mixed variable delays 混合变延迟记忆器随机神经网络的状态估计
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4028
Ramasamy Saravanakumar, Hemen Dutta
{"title":"State estimation of memristor-based stochastic neural networks with mixed variable delays","authors":"Ramasamy Saravanakumar, Hemen Dutta","doi":"10.18514/mmn.2023.4028","DOIUrl":"https://doi.org/10.18514/mmn.2023.4028","url":null,"abstract":". This paper studies the state estimation problem for memristor-based stochastic neural networks (MSNNs) with mixed variable delays. A new Lyapunov-Krasovskii functional (LKF) with quadruple integral terms is incorporated. Then, asymptotic stability conditions are established for the error system using a linear matrix inequality technique. The estimator gain can be obtained by solving the linear matrix inequalities. Numerical simulations are given to demonstrate the effectiveness and superiority of the new scheme.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135658918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NJ-semicommutative Rings NJ-semicommutative环
4区 数学
Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI: 10.18514/mmn.2023.4135
Sanjiv Subba, Tikaram Subedi
{"title":"NJ-semicommutative Rings","authors":"Sanjiv Subba, Tikaram Subedi","doi":"10.18514/mmn.2023.4135","DOIUrl":"https://doi.org/10.18514/mmn.2023.4135","url":null,"abstract":". We call a ring R NJ-semicommutative if wh ∈ N ( R ) implies wRh ⊆ J ( R ) for any w , h ∈ R . The class of NJ-semicommutative rings is large enough that it contains semicom-mutative rings, left (right) quasi-duo rings, J-clean rings, and J-quasipolar rings. We provide some conditions for NJ-semicommutative rings to be reduced. We also observe that if R / J ( R ) is reduced, then R is NJ-semicommutative, and therefore we provide some conditions for NJ-semicommutative ring R for which R / J ( R ) is reduced. We also study some extensions of NJ-semicommutative rings wherein, among other results, we prove that the polynomial ring over an NJ-semicommutative ring need not be NJ-semicommutative.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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