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NI-semimodule related to a Morita context 与森田上下文相关的ni -半模块
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00005
Krishanu Dey, S. Sardar
{"title":"NI-semimodule related to a Morita context","authors":"Krishanu Dey, S. Sardar","doi":"10.47743/anstim.2022.00005","DOIUrl":"https://doi.org/10.47743/anstim.2022.00005","url":null,"abstract":"In this paper we study the notion of semi-reduced prime subsemimodule and NI -semimodule related to a Morita Context < R,S, R P S , S Q R ,θ,ϕ > . We characterize the NI -semimodule by semi-reduced prime subsemimodule.","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":"70890693","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
The Hadamard-type k-step Fibonacci sequences hadamard型k步斐波那契序列
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00012
Yeşim Aküzüm, Ö. Deveci
{"title":"The Hadamard-type k-step Fibonacci sequences","authors":"Yeşim Aküzüm, Ö. Deveci","doi":"10.47743/anstim.2022.00012","DOIUrl":"https://doi.org/10.47743/anstim.2022.00012","url":null,"abstract":"In this work, we define the Hadamard-type product of two polynomials by the aid of the Hadamard product of two polynomials. Then we obtain the Hadamard-type k -step Fibonacci sequence by using Hadamard-type product of characteristic polynomials of the Fibonacci sequence and the k -step Fibonacci sequence. Also, we derive relationships between the Hadamard-type k -step Fibonacci sequences and the generating matrices for these sequences. Finally, we give some properties of these sequences such as the Binet formula, the combinatorial representations, the generating function, the exponential rep- resentation.","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":"70890772","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
Recognition by the set of orders of vanishing elements and order of PSL(3, p) 消失元素阶数集与PSL(3, p)阶数的识别
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00014
Soleyman Askary
{"title":"Recognition by the set of orders of vanishing elements and order of PSL(3, p)","authors":"Soleyman Askary","doi":"10.47743/anstim.2022.00014","DOIUrl":"https://doi.org/10.47743/anstim.2022.00014","url":null,"abstract":"Let G be a finite group. We say that an element g of G is a vanishing element if there exists an irreducible complex character χ of G such that χ ( g ) = 0. Denote by V o ( G ) the set of order of vanishing elements of G , and we prove that G ∼ = PSL (3 ,p ) if and only if V o ( G ) = V o ( PSL (3 ,p )) and | G | = | PSL (3 ,p ) | , where p is a prime number.","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":"70890827","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
Multiplicative Lie triple higher derivations on generalized matrix algebras 广义矩阵代数上的乘李三重高导
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00003
M. Ashraf, Mohd Shuaib Akhtar, B. Wani
{"title":"Multiplicative Lie triple higher derivations on generalized matrix algebras","authors":"M. Ashraf, Mohd Shuaib Akhtar, B. Wani","doi":"10.47743/anstim.2022.00003","DOIUrl":"https://doi.org/10.47743/anstim.2022.00003","url":null,"abstract":"Let N be the set of nonnegative integers and G = ( A , M , N , B ) be a 2-torsion free generalized matrix algebra over a commutative ring R . In the present paper, under some lenient assumptions on G , it is shown that if ∆ = { δ n } n ∈ N is a sequence of mappings δ n : G → G (not necessarily linear) satisfying δ n ([[ a,b ] ,c ]) = P r + s + t = n [[ δ r ( a ) ,δ s ( b )] ,δ t ( c )] for all a,b,c ∈ G , then for each n ∈ N , δ n = d n + τ n ; where d n : G → G is an additive mapping satisfying d n ( ab ) = P r + s = n d r ( a ) d s ( b ) for all a,b ∈ G , i.e., D = { d n } n ∈ N is an additive higher derivation on G and τ n : G → Z ( G )(where Z ( G ) is the center of G ) is a map vanishing at every second commutator [[ a,b ] ,c ].","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":"70889999","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 convergence and summability with speed in ultrametric fields 超电磁场的收敛性和速度可和性
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00015
P. Natarajan
{"title":"On convergence and summability with speed in ultrametric fields","authors":"P. Natarajan","doi":"10.47743/anstim.2022.00015","DOIUrl":"https://doi.org/10.47743/anstim.2022.00015","url":null,"abstract":"Throughout the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K . Following Kangro [2–4], we introduce the concepts of convergence with speed λ (or λ -convergence) and λ -summability by the infinite matrix A (or A λ summability) in K . We then prove a characterization of the matrix class ( c λ ,c µ ), where c λ denotes the set of all λ -convergent sequences.","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":"70890442","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
Some characterizations of rectifying curves on a smooth surface in Euclidean 3-space 欧氏空间中光滑曲面上整流曲线的一些性质
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-04-07 DOI: 10.47743/anstim.2022.00001
A. Yadav, B. Pal
{"title":"Some characterizations of rectifying curves on a smooth surface in Euclidean 3-space","authors":"A. Yadav, B. Pal","doi":"10.47743/anstim.2022.00001","DOIUrl":"https://doi.org/10.47743/anstim.2022.00001","url":null,"abstract":"In this paper, we investigate sufficient condition for the invariance of a rectifying curve on a smooth surface immersed in Euclidean 3-space under isometry by using Darboux frame {T, P,U}. Further, we find the deviations of the position vector of a rectifying curve on the smooth surface along any tangent vector T = aφu + bφv with respect to the isometry. We also find the deviations of the position vector of a rectifying curve on the smooth surface along the unit normal U to the surface and along P (= U × T ) with respect to the isometry. Mathematics Subject Classification 2020: 53A04, 53A05, 53A15.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44810916","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
A Finsler metric of constant Gauss curvature K=1 on 2-sphere 二球上具有恒定高斯曲率K=1的芬斯勒度规
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-02-01 DOI: 10.47743/ANSTIM.2021.00004
I. Masca, S. Sabau, H. Shimada
{"title":"A Finsler metric of constant Gauss curvature K=1 on 2-sphere","authors":"I. Masca, S. Sabau, H. Shimada","doi":"10.47743/ANSTIM.2021.00004","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00004","url":null,"abstract":"We construct a concrete example of constant Gauss curvature $K = 1$ on the 2-sphere having all geodesics closed and of same length.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"31-44"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41886979","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
Result on an Integral function of an Integral function represented by Dirichlet Series 狄利克雷级数表示的积分函数的积分函数的结果
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00011
Nibha Dua, Niraj Kumar
{"title":"Result on an Integral function of an Integral function represented by Dirichlet Series","authors":"Nibha Dua, Niraj Kumar","doi":"10.47743/ANSTIM.2021.00011","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00011","url":null,"abstract":"This paper deals in exhibiting a property for which type (R) of an integral function of an integral function represented by Dirichlet series for a finite order (R) is finite.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"49 1","pages":"149-153"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889853","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
Rotation minimizing frames and quaternionic rectifying curves 旋转最小化帧和四元数校正曲线
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00003
Özgür Keskin, Y. Yaylı
{"title":"Rotation minimizing frames and quaternionic rectifying curves","authors":"Özgür Keskin, Y. Yaylı","doi":"10.47743/ANSTIM.2021.00003","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00003","url":null,"abstract":"In this paper, certain characterizations of a Rotation minimizing frame (RMF) are studied. An RMF is obtained on the direction curve ∫ N(s)ds using a unit quaternionic curve. Some properties of this frame are given. Also, the condition of being a quaternionic rectifying curve and the condition of being a spherical curve is expressed using this frame. Moreover, the characterization of quaternionic rectifying curves is obtained similar to the characterization of spherical curves. Finally, the properties of the quaternionic rectifying curves are given.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"19-29"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889402","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 Gauss third-order Jacobsthal numbers and their applications 高斯三阶雅各布布数及其应用
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00016
Gamaliel Cerda-Morales
{"title":"On Gauss third-order Jacobsthal numbers and their applications","authors":"Gamaliel Cerda-Morales","doi":"10.47743/ANSTIM.2021.00016","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00016","url":null,"abstract":"We define the Gauss third-order Jacobsthal numbers. Then we give a formula for the Gauss third-order Jacobsthal numbers by using the third-order Jacobsthal numbers. The Gauss modified third-order Jacobsthal numbers are described and the relation with modified third-order Jacobsthal numbers are explained. We show that there is a relation between the Gauss third-order Jacobsthal numbers and the third-order Jacobsthal numbers. Their Binet’s formulas are obtained. We also define the matrices of the Gauss third-order Jacobsthal numbers and the Gauss modified third-order Jacobsthal numbers. We examine properties of the matrices.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"231-241"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890070","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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