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International Journal of Algebra and Computation最新文献

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Primitive simple permutation group with A5 as a faithful subconstituent 以A5为忠实子成分的原始简单置换群
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91546
Zhengfei Wu, Shangjin Xu
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引用次数: 0
Ranks of several elliptic curves y2 = x3 ∓ 3px 若干椭圆曲线的秩y2 = x3 + 3px
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91565
Shin-wook Kim
{"title":"Ranks of several elliptic curves y2 = x3 ∓ 3px","authors":"Shin-wook Kim","doi":"10.12988/ija.2021.91565","DOIUrl":"https://doi.org/10.12988/ija.2021.91565","url":null,"abstract":"Let E∓3p be elliptic curves y 2 = x ∓ 3px with prime p then, we will compute the ranks of it and compare the results with that of in curve E2pq: y 2 = x + 2pqx . Mathematics Subject Classification: 11G05, 11A41","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"37 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77577598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2
Dense subsets on Banach *-algebras with linear derivations 具有线性导数的Banach *-代数上的稠密子集
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91573
H. Alhazmi
{"title":"Dense subsets on Banach *-algebras with linear derivations","authors":"H. Alhazmi","doi":"10.12988/ija.2021.91573","DOIUrl":"https://doi.org/10.12988/ija.2021.91573","url":null,"abstract":"Let A be a Banach ∗-algebra over C. In this manuscript, we study the behaviour of linear derivations with regular involution which satisfy certain differential identitities. In fact, we prove that there is no positive integer n such that the set of a ∈ A for which (a∆)n((a∗)∆)n ± ((a∗)∆)n(a∆)n ∈ Z(A ) or there exists a central idempotent e ∈ Q such that ∆ = 0 on eQ and (1 − e)Q satisfies s4, the standard identity in four variables. Mathematics Subject Classification: 16W25, 46J45","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"77 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73050494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
On the exponential Diophantine equation (4m2 + 1)x + (45m2 - 1)y = (7m)z 指数丢番图方程(4m2 + 1)x + (45m2 - 1)y = (7m)z
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91567
N. Terai, Yoshiki Shinsho
{"title":"On the exponential Diophantine equation (4m2 + 1)x + (45m2 - 1)y = (7m)z","authors":"N. Terai, Yoshiki Shinsho","doi":"10.12988/ija.2021.91567","DOIUrl":"https://doi.org/10.12988/ija.2021.91567","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78275251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2
Unital real division algebras satisfying (x2, y2, x2) = 0 满足(x2, y2, x2) = 0的一元实数除法代数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91501
K. Diaby, O. Diankha, M. Ly, A. Rochdi
{"title":"Unital real division algebras satisfying (x2, y2, x2) = 0","authors":"K. Diaby, O. Diankha, M. Ly, A. Rochdi","doi":"10.12988/IJA.2021.91501","DOIUrl":"https://doi.org/10.12988/IJA.2021.91501","url":null,"abstract":"Let A be a real division algebra with unit-element. We show that if A satisfies (x2, y2, x2) = 0 then it is flexible, quadratic and isomorphic to either R, C, a mutation of the quaternion algebra H, or a vector isotope of the octonion algebra O. Mathematics Subject Classification: 17A35 12 Kandé Diaby, Oumar Diankha, Mamoudou Ly and Abdellatif Rochdi","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"64 1","pages":"11-15"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87895906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Real division algebras satisfying some identities 满足恒等式的实数除法代数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91545
Bouchra Aharmim, O. Fayz, E. Idnarour, A. Rochdi
{"title":"Real division algebras satisfying some identities","authors":"Bouchra Aharmim, O. Fayz, E. Idnarour, A. Rochdi","doi":"10.12988/IJA.2021.91545","DOIUrl":"https://doi.org/10.12988/IJA.2021.91545","url":null,"abstract":"New simpler statements of the known theorems of Frobenius and Zorn via identities of the form (x2, y2, z2) = 0 and (x2, y2, y2) = (y2, y2, x2) = 0 are given. Also, the 124 B. Aharmim, O. Fayz, E. Idnarour and A. Rochdi identity (x2, x2, x2) = 0 in a real division algebra with a non-zero central element forces the power-commutativity. Mathematics Subject Classification: 17A35","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"43 2 Suppl 1 1","pages":"123-128"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83778055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Real division algebras with central idempotent satisfying (x^2, y^2, x^2) = 0 中心幂等的实除法代数满足(x^2, y^2, x^2) = 0
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91523
Bouchra Aharmim, K. Diaby, O. Fayz, A. Rochdi
{"title":"Real division algebras with central idempotent satisfying (x^2, y^2, x^2) = 0","authors":"Bouchra Aharmim, K. Diaby, O. Fayz, A. Rochdi","doi":"10.12988/IJA.2021.91523","DOIUrl":"https://doi.org/10.12988/IJA.2021.91523","url":null,"abstract":"We show that every real division algebra, with a non-zero central idempotent, satisfying (x2, y2, x2) = 0 is flexible and isomorphic to either a commutative division algebra of dimension ≤ 2, a scalar isotope of a mutation of the quaternion algebra H or a kind of isotope of the octonion algebra O. 70 Bouchra Aharmim, Kandé Diaby, Oussama Fayz and Abdellatif Rochdi Mathematics Subject Classification: 17A35","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"14 1","pages":"69-75"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88035552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A note on finite group 1-cohomology via semi-direct products with applications to permutation modules 半直积关于有限群1-上同调的注解及其在置换模上的应用
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91566
M. E. Harris
{"title":"A note on finite group 1-cohomology via semi-direct products with applications to permutation modules","authors":"M. E. Harris","doi":"10.12988/ija.2021.91566","DOIUrl":"https://doi.org/10.12988/ija.2021.91566","url":null,"abstract":"Section 17 of the important textbook [1] of M. Aschbacher studies Finite Group 1-Cohomology with a field coefficient ring via semi-direct products. This approach yields new structures and results to this basic subject. Here we assume that the coefficient ring is any commutative ring and we obtain all of the results of [1, Section 17] excluding Theorem 17.12. Via duality, this theorem extends the previous main result Theorem 17.11. In our final main results we assume that the coefficient ring is a discrete valuation ring, so that [1, Theorem 17.12] is a special case. Thus all of our results are applicable to Finite Group Modular Representation Theory. We conclude with applications to finite group permutation modules. Mathematics Subject Classification: 20J06","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"29 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89898993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Some characterizations of ternary semigroups by bi-ideals 用双理想刻画三元半群
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91505
Anila Peposhi, Thanas Xhillari
{"title":"Some characterizations of ternary semigroups by bi-ideals","authors":"Anila Peposhi, Thanas Xhillari","doi":"10.12988/IJA.2021.91505","DOIUrl":"https://doi.org/10.12988/IJA.2021.91505","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"10 1","pages":"1-10"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85627199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Sarrus rule extension for 4x4 and 5x5 determinants Sarrus规则扩展4x4和5x5行列式
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91645
E. Salinas-Hernández, G. Ares de Parga, Jesus A EMartinez-Nuno
{"title":"Sarrus rule extension for 4x4 and 5x5 determinants","authors":"E. Salinas-Hernández, G. Ares de Parga, Jesus A EMartinez-Nuno","doi":"10.12988/ija.2021.91645","DOIUrl":"https://doi.org/10.12988/ija.2021.91645","url":null,"abstract":"In this work we propose a mechanism that shortens the manual calculation of the cofactors method for the case of the determinants of the 4 × 4 and 5 × 5 matrices by means of an extension of the wellknown Sarrus’ rule. Later we give an illustrative example of the method for each case and at the end we present conclusions. Mathematics Subject Classification: 15A15,15A23,15A99","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"121 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77502688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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