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Power cocentralizing generalized derivations on left ideals of prime rings 素环左理想的幂中心化广义推导
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-17 DOI: 10.1142/s0219498825501452
Cheng-Kai Liu, Yuan-Tsung Tsai
{"title":"Power cocentralizing generalized derivations on left ideals of prime rings","authors":"Cheng-Kai Liu, Yuan-Tsung Tsai","doi":"10.1142/s0219498825501452","DOIUrl":"https://doi.org/10.1142/s0219498825501452","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139265165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Involutory permutation automorphisms of binary linear codes 二进制线性编码的非法定置换自动形态
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-17 DOI: 10.1142/s0219498825501373
F. Aksu, R. Hafezieh, Ipek Tuvay
{"title":"Involutory permutation automorphisms of binary linear codes","authors":"F. Aksu, R. Hafezieh, Ipek Tuvay","doi":"10.1142/s0219498825501373","DOIUrl":"https://doi.org/10.1142/s0219498825501373","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139262941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Hexa-algebras and related algebraic structures 六元数和相关代数结构
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-17 DOI: 10.1142/s0219498825501403
Mohamed Belhaj Mohamed
{"title":"Hexa-algebras and related algebraic structures","authors":"Mohamed Belhaj Mohamed","doi":"10.1142/s0219498825501403","DOIUrl":"https://doi.org/10.1142/s0219498825501403","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139262650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Hall normally embedded subgroups of finite groups 关于有限群霍尔常内含子群的说明
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-17 DOI: 10.1142/s0219498825501397
Xuanli He, Qinhui Sun, Qinghong Guo
{"title":"A note on Hall normally embedded subgroups of finite groups","authors":"Xuanli He, Qinhui Sun, Qinghong Guo","doi":"10.1142/s0219498825501397","DOIUrl":"https://doi.org/10.1142/s0219498825501397","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139263328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Study on leavitt path algebras and associated grothendieck groups for directed enhanced power graphs 有向增强幂图的 Leavitt 路径代数和相关格罗登第克群研究
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-17 DOI: 10.1142/s0219498825501385
Bidwan Chakraborty, Santanu Debnath
{"title":"Study on leavitt path algebras and associated grothendieck groups for directed enhanced power graphs","authors":"Bidwan Chakraborty, Santanu Debnath","doi":"10.1142/s0219498825501385","DOIUrl":"https://doi.org/10.1142/s0219498825501385","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139264956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Arithmetic of Semisubtractive Semidomains 半减半域算术
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-13 DOI: 10.1142/s0219498825501634
Hannah Fox, Agastya Goel, Sophia Liao
{"title":"Arithmetic of Semisubtractive Semidomains","authors":"Hannah Fox, Agastya Goel, Sophia Liao","doi":"10.1142/s0219498825501634","DOIUrl":"https://doi.org/10.1142/s0219498825501634","url":null,"abstract":"A subset $S$ of an integral domain is called a semidomain if the pairs $(S,+)$ and $(Ssetminus{0}, cdot)$ are commutative and cancellative semigroups with identities. The multiplication of $S$ extends to the group of differences $mathscr{G}(S)$, turning $mathscr{G}(S)$ into an integral domain. In this paper, we study the arithmetic of semisubtractive semidomains (i.e., semidomains $S$ for which either $s in S$ or $-s in S$ for every $s in mathscr{G}(S)$). Specifically, we provide necessary and sufficient conditions for a semisubtractive semidomain to be atomic, to satisfy the ascending chain condition on principals ideals, to be a bounded factorization semidomain, and to be a finite factorization semidomain, which are subsequent relaxations of the property of having unique factorizations. In addition, we present a characterization of factorial and half-factorial semisubtractive semidomains. Throughout the article, we present examples to provide insight into the arithmetic aspects of semisubtractive semidomains.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139278480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Two topologies on the set of minimal prime elements of a continuous frame 连续框架最小素元素集合上的两种拓扑
3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-08 DOI: 10.1142/s0219498825501014
Chongxia Lu, Qingguo Li
{"title":"Two topologies on the set of minimal prime elements of a continuous frame","authors":"Chongxia Lu, Qingguo Li","doi":"10.1142/s0219498825501014","DOIUrl":"https://doi.org/10.1142/s0219498825501014","url":null,"abstract":"In this paper, we discuss the properties of the hull-kernel topology and the inverse topology on the set [Formula: see text] of minimal prime elements of a continuous frame [Formula: see text]. We prove that the set [Formula: see text] endowed with the hull-kernel topology and the inverse topology, respectively, is a [Formula: see text]-space. Moreover, we obtain that there is a bijective correspondence between the set [Formula: see text] of all maximal Scott open filters of [Formula: see text] and the set [Formula: see text] when [Formula: see text] is a stably continuous frame. By considering the bijective correspondence between the sets [Formula: see text] and [Formula: see text], we propose some sufficient conditions for the topological spaces [Formula: see text] endowed with the hull-kernel topology and the inverse topology, respectively, to be sober, Hausdorff, compact, extremely disconnected and zero-dimensional spaces, respectively, when [Formula: see text] is a stably continuous frame.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135293388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 some graded objects in graded module category 关于分级模类中的若干分级对象
3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-08 DOI: 10.1142/s0219498825500732
Ahmad Khojali, Naser Zamani, Soodabeh Azimi
{"title":"On some graded objects in graded module category","authors":"Ahmad Khojali, Naser Zamani, Soodabeh Azimi","doi":"10.1142/s0219498825500732","DOIUrl":"https://doi.org/10.1142/s0219498825500732","url":null,"abstract":"Let [Formula: see text] be a [Formula: see text]-graded ring and let [Formula: see text] be the category of [Formula: see text]-graded [Formula: see text]-modules and homogeneous homomorphisms. In this paper, we define and study some objects in this category. More precisely, we introduce the concepts of graded duo (weak and strong graded duo) modules and give some sources and an example for these types of modules. It is seen that, under some condition, graded duo property is a local property in this category. When the ring [Formula: see text] is a discrete graded valuation ring with unique [Formula: see text]maximal ideal [Formula: see text], we see that these three types of graded (duo) modules are identical and give an explicit characterization of them, so that any graded duo modules over such a ring is of the form [Formula: see text] or [Formula: see text] for some positive integer [Formula: see text] and some integers [Formula: see text]. The same task is done whenever [Formula: see text] is a graded Dedekind domain. Finally, by an example, that provides a wide variety of strong graded duo modules, it was shown that the given characterizations do not hold valid if the ground ring is not Dedekind.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135293664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Semisimplicity and separability for pseudocompact algebras 伪紧代数的半简单性和可分性
3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-08 DOI: 10.1142/s0219498825500781
Kostiantyn Iusenko, John William MacQuarrie
{"title":"Semisimplicity and separability for pseudocompact algebras","authors":"Kostiantyn Iusenko, John William MacQuarrie","doi":"10.1142/s0219498825500781","DOIUrl":"https://doi.org/10.1142/s0219498825500781","url":null,"abstract":"We give a self-contained introduction to the wonderfully well-behaved class of pseudocompact algebras, focusing on the foundational classes of semisimple and separable algebras. We give characterizations of such algebras analogous to those for finite dimensional algebras. We give a self-contained proof of the Wedderburn–Malcev Theorem for pseudocompact algebras.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135293673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Algebras of Reduced E-Fountain Semigroups and the Generalized Ample Identity II 简化e喷泉半群的代数与广义样本恒等式2
3区 数学
Journal of Algebra and Its Applications Pub Date : 2023-11-08 DOI: 10.1142/s0219498825500914
Itamar Stein
{"title":"Algebras of Reduced <i>E</i>-Fountain Semigroups and the Generalized Ample Identity II","authors":"Itamar Stein","doi":"10.1142/s0219498825500914","DOIUrl":"https://doi.org/10.1142/s0219498825500914","url":null,"abstract":"We study the generalized right ample identity, introduced by the author in a previous paper. Let [Formula: see text] be a reduced [Formula: see text]-Fountain semigroup which satisfies the congruence condition. We can associate with [Formula: see text] a small category [Formula: see text] whose set of objects is identified with the set [Formula: see text] of idempotents and its morphisms correspond to elements of [Formula: see text]. We prove that [Formula: see text] satisfies the generalized right ample identity if and only if every element of [Formula: see text] induces a homomorphism of left [Formula: see text]-actions between certain classes of generalized Green’s relations. In this case, we interpret the associated category [Formula: see text] as a discrete form of a Peirce decomposition of the semigroup algebra. We also give some natural examples of semigroups satisfying this identity.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135293562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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