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International Journal of Algebra and Computation最新文献

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Tschirnhaus transformation and a new approach to solve the 4th degree algebraic equation Tschirnhaus变换与求解四次代数方程的新方法
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91577
E. Salinas-Hernández, G. Ares de Parga
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引用次数: 0
ν-QC-continuous posets ν-QC-continuous偏序集
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91574
Xuxin Mao, Luoshan Xu
{"title":"ν-QC-continuous posets","authors":"Xuxin Mao, Luoshan Xu","doi":"10.12988/ija.2021.91574","DOIUrl":"https://doi.org/10.12988/ija.2021.91574","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74609911","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
Brauer quotient of interior quandle G-algebra 内纠缠g代数的Brauer商
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91277
Amani M. Alfadhli, A. Alghamdi
{"title":"Brauer quotient of interior quandle G-algebra","authors":"Amani M. Alfadhli, A. Alghamdi","doi":"10.12988/IJA.2021.91277","DOIUrl":"https://doi.org/10.12988/IJA.2021.91277","url":null,"abstract":"In this paper, we present the concept of Brauer morphism in the quandle G-algebra setting together with an illustration example of this construction. We study the relationship between the relative trace map and the Brauer morphism. We introduce the concept of the defect group of a primitive idempotent by using the relative trace map and the Brauer morphism. The object of an interior quandle G-algebra is studied, as well as, we define the homomorphism of interior quandle G-algebras. Mathematics Subject Classification: Primary 20N02, Secondary 20B25","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"2 1","pages":"17-36"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79448139","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 co-*n-modules 关于co-*n-modules的说明
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91571
Yu‐Qin Mei, Jiaqun Wei
{"title":"A note on co-*n-modules","authors":"Yu‐Qin Mei, Jiaqun Wei","doi":"10.12988/ija.2021.91571","DOIUrl":"https://doi.org/10.12988/ija.2021.91571","url":null,"abstract":"It is well known that tilting modules of projective dimension not more than 1 coincide with ∗-modules generating all injective modules. Later, Wei et al. introduced the notion of ∗n-modules as the generalizations of ∗-modules. Yao and Chen introduced the dual situation of ∗n-modules which are called co-∗n-modules. In this paper, we present some properties of co-∗n-modules. Mathematics Subject Classification: Primary 16D90 Secondary 16E05 16E10","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"13 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79255280","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
The minimal degree standard identity on E ⊗ E E⊗E的最小度标准同一性
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91572
Geraldo de Assis Junior, Sergio Mota Alves
{"title":"The minimal degree standard identity on E ⊗ E","authors":"Geraldo de Assis Junior, Sergio Mota Alves","doi":"10.12988/ija.2021.91572","DOIUrl":"https://doi.org/10.12988/ija.2021.91572","url":null,"abstract":"Let K be a field of characteristics p > 2. Giambruno and Koshlukov have proved [2] that Grassmann Algebra E satisfies the standard identity of degree m if, and only if, m ≥ p + 1. The object of this paper is to extend such result to E ⊗ E, more precisely proving that E ⊗ E satisfies the standard identity of degree m if, and only if, m ≥ 2p. Mathematics Subject Classification: 15A75, 16R20","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"38 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88880530","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
Ideal theory in commutative Γ - semirings 可交换的理想理论Γ -半环
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91527
W. Fakieh, Fatimah A. Alhawiti
{"title":"Ideal theory in commutative Γ - semirings","authors":"W. Fakieh, Fatimah A. Alhawiti","doi":"10.12988/IJA.2021.91527","DOIUrl":"https://doi.org/10.12988/IJA.2021.91527","url":null,"abstract":"In this paper, we study some results on the ideal theory of commutative Γ− semirings analogues to commutative semirings . In particular, Q-ideals , maximal ideals, primary ideals and radical ideals of commutative Γ− semiring are investigated . Furthermore we make an intensive examination of the notions of maximal ideal and local Γ− semirings. It is shown that the notion of primary ideals in Γ− semirings inherits most of essential properties of primary ideals of commutative semirings. Mathematics Subject Classification: 16Y60, 16Y99","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"5 1","pages":"77-101"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82837920","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
Linear codes over the ring Rm = Z2m + uZ2m 环上的线性码Rm = Z2m + uZ2m
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/ija.2021.91568
J. Diaz-Vargas, Carlos Jacob Rubio-Barrios, H. Tapia-Recillas, Juan Armando Velazco-Velazco
{"title":"Linear codes over the ring Rm = Z2m + uZ2m","authors":"J. Diaz-Vargas, Carlos Jacob Rubio-Barrios, H. Tapia-Recillas, Juan Armando Velazco-Velazco","doi":"10.12988/ija.2021.91568","DOIUrl":"https://doi.org/10.12988/ija.2021.91568","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"451 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86860708","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
The Electronics Industry and Their Chemical Effects in the Environment of Arid Regions ofNorthwest of Mexico 墨西哥西北部干旱区电子工业及其对环境的化学影响
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.35940/IJAC.B2007.101221
G. Badilla, J. T. Gaynor
{"title":"The Electronics Industry and Their Chemical Effects in the Environment of Arid Regions ofNorthwest of Mexico","authors":"G. Badilla, J. T. Gaynor","doi":"10.35940/IJAC.B2007.101221","DOIUrl":"https://doi.org/10.35940/IJAC.B2007.101221","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"1 1","pages":"5-13"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70082793","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
Functor localization S-1() and Morita theory of category equivalences 函子局部化S-1()与范畴等价的Morita理论
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91531
Ousmane Djiby Diallo, Mohamed Ben Faraj Ben Maaouia, M. Sanghare
{"title":"Functor localization S-1() and Morita theory of category equivalences","authors":"Ousmane Djiby Diallo, Mohamed Ben Faraj Ben Maaouia, M. Sanghare","doi":"10.12988/IJA.2021.91531","DOIUrl":"https://doi.org/10.12988/IJA.2021.91531","url":null,"abstract":"The main results we show in this paper are: • if A is a ring, S a saturated multiplicative set of A which satisfies the left Ore conditions then the category S−1A−Mod of the left S−1A-modules is equivalent to the category of left A-modules S-divisible and S-torsion free (denoted by STDA−Mod). • If A and B are Morita equivalent rings (denoted A ≈ B) and if S is a central saturated multiplicative set of A then the rings S−1A and S−1B are Morita equivalent and for any (two-sided) ideal I of A, if J is the ideal of B corresponding to I, then S−1I is an ideal of S−1A corresponding to the ideal S−1J of S−1B. • IfA ≈ B then the categories of complexes Comp(A−Mod) and Comp(B −Mod) are equivalent ( Comp(A−Mod) ≈ Comp(B −Mod) for short) and for all central multiplicative set S of A, 138 O. D. Diallo, M. B. Maaouia and M. Sanghare Comp ( S−1A−Mod ) ≈ Comp ( S−1B −Mod )","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"25 1","pages":"137-154"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83510199","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
Four dimensional absolute valued algebras with central square roots of unit 中心为单位平方根的四维绝对值代数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI: 10.12988/IJA.2021.91515
K. Diaby, O. Diankha, Amar Fall, A. Rochdi
{"title":"Four dimensional absolute valued algebras with central square roots of unit","authors":"K. Diaby, O. Diankha, Amar Fall, A. Rochdi","doi":"10.12988/IJA.2021.91515","DOIUrl":"https://doi.org/10.12988/IJA.2021.91515","url":null,"abstract":"There are exactly four absolute valued algebras of dimension four with central square roots of unit among which H, ∗ H . We present them and specify their nonzero idempotents. Mathematics Subject Classification: 17A80, 17A75, 17A60, 17D99","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"49 1","pages":"49-59"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83510768","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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