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Jordan homo-derivations on triangular matrix rings 三角矩阵环上的Jordan同导
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00016
N. Rehman, Hafedh M. Alnoghashi
{"title":"Jordan homo-derivations on triangular matrix rings","authors":"N. Rehman, Hafedh M. Alnoghashi","doi":"10.47743/anstim.2022.00016","DOIUrl":"https://doi.org/10.47743/anstim.2022.00016","url":null,"abstract":"In this article, our aims to establish conditions on triangular matrix rings so that a map ψ satisfying ψ ( A ◦ B ) = ψ ( A ) ◦ B + A ◦ ψ ( B ) + ψ ( A ) ◦ ψ ( B ) for all A,B in a triangular matrix ring becomes additive.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890492","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: 1
On 2-prime ideals in commutative semigroups 交换半群中的2素数理想
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00004
Biswaranjan Khanra, M. Mandal
{"title":"On 2-prime ideals in commutative semigroups","authors":"Biswaranjan Khanra, M. Mandal","doi":"10.47743/anstim.2022.00004","DOIUrl":"https://doi.org/10.47743/anstim.2022.00004","url":null,"abstract":"We introduce and study the concepts of 2-prime and weakly 2-prime ideals in a commutative semigroup. We characterize semigroups where 2-prime ideals are prime and also characterize semigroups where every ideal is weakly 2-prime.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890633","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: 1
On certain principal directions in lightlike hypersurfaces of an indefinite Sasakian manifold 不定sasaki流形的类光超曲面上的某些主方向
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00018
S. Ssekajja
{"title":"On certain principal directions in lightlike hypersurfaces of an indefinite Sasakian manifold","authors":"S. Ssekajja","doi":"10.47743/anstim.2022.00018","DOIUrl":"https://doi.org/10.47743/anstim.2022.00018","url":null,"abstract":"In this paper, the geometry of some principal directions on a tangential lightlike hypersurface of an indefinite Sasakian manifold is investigated. In particular, we have proved, under some geometric conditions, that if the total space has constant holomorphic sectional curvature then such curvature is − 3. Moreover, it is shown that the underlying lightlike hypersurface is, locally, foliated by totally geodesic lightlike hypersurfaces.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70891369","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
Geometry of golden GCR-lightlike submanifolds of golden semi-Riemannian manifolds 黄金半黎曼流形的黄金gcr -类光子流形的几何
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00008
N. Poyraz
{"title":"Geometry of golden GCR-lightlike submanifolds of golden semi-Riemannian manifolds","authors":"N. Poyraz","doi":"10.47743/anstim.2022.00008","DOIUrl":"https://doi.org/10.47743/anstim.2022.00008","url":null,"abstract":"We study golden GCR-lightlike submanifolds of golden semi-Riemannian man- ifolds. We find some equivalent conditions for integrability of distributions and investigate the geometry of leaves of distributions.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890579","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
Sylvester matrix equation under the semi-tensor product of matrices 西尔维斯特矩阵方程下矩阵的半张量积
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00020
P. Chansangiam, S. Sabau
{"title":"Sylvester matrix equation under the semi-tensor product of matrices","authors":"P. Chansangiam, S. Sabau","doi":"10.47743/anstim.2022.00020","DOIUrl":"https://doi.org/10.47743/anstim.2022.00020","url":null,"abstract":"We investigate the Sylvester matrix equation in which the product is given by the semi-tensor product, and all involved matrices are matrices over an arbitrary field. We discuss necessary/sufficient condition(s) for the matrix equation to have a solution or a unique solution, or infinitely many solutions. These conditions concern ranks and linear independence. Moreover, we apply a certain kind of vectorization and matrix partitioning to transform the Sylvester equation into an equivalent linear system with respect to the conventional matrix product. Our study includes the Lyapunov equation and the equation A ⋉ X = C as special cases.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70891302","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: 2
Steinhaus type theorems over complete ultrametric fields 完全超度量场上的Steinhaus型定理
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00002
P. Natarajan
{"title":"Steinhaus type theorems over complete ultrametric fields","authors":"P. Natarajan","doi":"10.47743/anstim.2022.00002","DOIUrl":"https://doi.org/10.47743/anstim.2022.00002","url":null,"abstract":"Throughout this paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of infinite matrices, sequences and infinite series are in K . In this paper, following ([4], [5]), we prove some more Steinhaus type theorems over K .","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889951","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 note on some fractional integral inequalities via generalized fractional integral 关于分数阶积分不等式的一个注解
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00006
J. E. Valdés, Florencia Rabossi
{"title":"A note on some fractional integral inequalities via generalized fractional integral","authors":"J. E. Valdés, Florencia Rabossi","doi":"10.47743/anstim.2022.00006","DOIUrl":"https://doi.org/10.47743/anstim.2022.00006","url":null,"abstract":"In this paper, using a generalized fractional integral, we obtained new integral inequalities of the Hermite-Hadamard type for s-convex functions.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890795","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 characterization of projective special linear groups PSL(5, 2) and PSL(4, 5) 射影特殊线性群PSL(5,2)和PSL(4,5)的刻划
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00010
B. Ebrahimzadeh, Behnam Azizi
{"title":"A characterization of projective special linear groups PSL(5, 2) and PSL(4, 5)","authors":"B. Ebrahimzadeh, Behnam Azizi","doi":"10.47743/anstim.2022.00010","DOIUrl":"https://doi.org/10.47743/anstim.2022.00010","url":null,"abstract":"In this paper, we prove that projective special linear groups PSL (5 , 2) and PSL (4 , 5) can be uniquely determined by their order and the largest order of elements.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890886","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
Conformal quasi bi-slant submersions 保形拟双斜浸没
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00013
Sushil Kumar, A. T. Vanli, Sumeet Kumar, R. Prasad
{"title":"Conformal quasi bi-slant submersions","authors":"Sushil Kumar, A. T. Vanli, Sumeet Kumar, R. Prasad","doi":"10.47743/anstim.2022.00013","DOIUrl":"https://doi.org/10.47743/anstim.2022.00013","url":null,"abstract":"Maps have always been a fascinating topic for geometers that continually gen- erates new ideas. We continue our study [20] on quasi bi-slant submersions by exploring the application of conformal maps between Riemannian manifolds. In present paper, we define conformal quasi bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds. We study the geometry of leaves of distributions, work out integrability con- ditions of distributions on these submersions and obtain conditions for such submersions to be totally geodesic. Moreover, we mention some examples of conformal quasi bi-slant submersions.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890781","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: 1
Roots of Pell-Lucas polynomials Pell-Lucas多项式的根
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00017
Furkan Birol, Özden Koruoğlu
{"title":"Roots of Pell-Lucas polynomials","authors":"Furkan Birol, Özden Koruoğlu","doi":"10.47743/anstim.2022.00017","DOIUrl":"https://doi.org/10.47743/anstim.2022.00017","url":null,"abstract":"In this paper, we consider the Pell-Lucas polynomials. We express these poly- nomials as complex hyperbolic functions. Using this we obtain general root formula for Pell-Lucas polynomials. Furthermore, we give some interesting identities about images of roots of a polynomial under another member of the family. Finally, we get some amazing relationships between the roots of Pell-Lucas polynomials and the modular group, Hecke groups, generalized Hecke groups with geometric viewpoints.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70891150","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: 1
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