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Journal of Algebra and Its Applications最新文献

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The Determinant of Semigroups of the Pseudovariety ECOM 伪变体 ECOM 的半群行列式
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-15 DOI: 10.1142/s0219498825502731
M. Shahzamanian
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引用次数: 1
Asymptotic Behaviour of Grade of Some Modules via Linkage 某些模块等级的渐近行为（通过链接
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-15 DOI: 10.1142/s0219498825502706
M. Jahangiri, Azadeh Nadali, Khadijeh Sayyari
{"title":"Asymptotic Behaviour of Grade of Some Modules via Linkage","authors":"M. Jahangiri, Azadeh Nadali, Khadijeh Sayyari","doi":"10.1142/s0219498825502706","DOIUrl":"https://doi.org/10.1142/s0219498825502706","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140701612","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
Simple modules over quantized Weyl algebras at roots of unity 统一根上的量子化韦尔基布上的简单模块
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-10 DOI: 10.1142/s0219498825502238
Snehashis Mukherjee, Sanu Bera
{"title":"Simple modules over quantized Weyl algebras at roots of unity","authors":"Snehashis Mukherjee, Sanu Bera","doi":"10.1142/s0219498825502238","DOIUrl":"https://doi.org/10.1142/s0219498825502238","url":null,"abstract":"<p>In this paper, the simple modules over the second quantized Weyl algebras at roots of unity over an algebraically closed field are classified.</p>","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589318","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
Multi-graded Macaulay dual spaces 多梯度麦考利对偶空间
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-05 DOI: 10.1142/s0219498825502469
Joseph Cummings, Jonathan D. Hauenstein
{"title":"Multi-graded Macaulay dual spaces","authors":"Joseph Cummings, Jonathan D. Hauenstein","doi":"10.1142/s0219498825502469","DOIUrl":"https://doi.org/10.1142/s0219498825502469","url":null,"abstract":"<p>We describe an algorithm for computing Macaulay dual spaces for multi-graded ideals. For homogeneous ideals, the natural grading is inherited by the Macaulay dual space which has been leveraged to develop algorithms to compute the Macaulay dual space in each homogeneous degree. Our main theoretical result extends this idea to multi-graded Macaulay dual spaces inherited from multi-graded ideals. This natural duality allows ideal operations to be translated from homogeneous ideals to their corresponding operations on the multi-graded Macaulay dual spaces. In particular, we describe a linear operator with a right inverse for computing quotients by a multi-graded polynomial. By using a total ordering on the homogeneous components of the Macaulay dual space, we also describe how to recursively construct a basis for each component. Several examples are included to demonstrate this new approach.</p>","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576399","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
Ad-invariant metrics on nonnice nilpotent Lie algebras 非完美零能李代数上的自不变度量
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-05 DOI: 10.1142/s0219498825502329
D. Conti, V. del Barco, F. A. Rossi
{"title":"Ad-invariant metrics on nonnice nilpotent Lie algebras","authors":"D. Conti, V. del Barco, F. A. Rossi","doi":"10.1142/s0219498825502329","DOIUrl":"https://doi.org/10.1142/s0219498825502329","url":null,"abstract":"<p>We proved in previous work that all real nilpotent Lie algebras of dimension up to <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mn>1</mn><mn>0</mn></math></span><span></span> carrying an ad-invariant metric are nice, i.e. they admit a nice basis in the sense of Lauret <i>et al.</i> In this paper, we show by constructing explicit examples that nonnice irreducible nilpotent Lie algebras admitting an ad-invariant metric exist for every dimension greater than <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mn>1</mn><mn>0</mn></math></span><span></span> and every nilpotency step greater than <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mn>2</mn></math></span><span></span>. In the way of doing so, we introduce a method to construct Lie algebras with ad-invariant metrics called the single extension, as a parallel to the well-known double extension procedure.</p>","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576550","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
Skew Inverse Laurent Series Rings with Bounded Annihilators 有界湮没器的斜反劳伦数列环
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-05 DOI: 10.1142/s021949882550269x
A. Hajaliakbari, A. Moussavi
{"title":"Skew Inverse Laurent Series Rings with Bounded Annihilators","authors":"A. Hajaliakbari, A. Moussavi","doi":"10.1142/s021949882550269x","DOIUrl":"https://doi.org/10.1142/s021949882550269x","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140738741","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 a Conjecture of Gao and Zhuang for Groups of Order 27 高、庄关于阶数为 27 的群的猜想的说明
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-05 DOI: 10.1142/s0219498825502688
Naveen K. Godara, Siddhartha Sarkar
{"title":"A Note on a Conjecture of Gao and Zhuang for Groups of Order 27","authors":"Naveen K. Godara, Siddhartha Sarkar","doi":"10.1142/s0219498825502688","DOIUrl":"https://doi.org/10.1142/s0219498825502688","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140738749","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
Radicals in Ore Extensions 矿石扩展中的激进分子
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-04 DOI: 10.1142/s0219498825502639
N. Kim, Yang Lee
{"title":"Radicals in Ore Extensions","authors":"N. Kim, Yang Lee","doi":"10.1142/s0219498825502639","DOIUrl":"https://doi.org/10.1142/s0219498825502639","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140745918","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
When Unit Graphs are Isomorphic to Unitary Cayley Graphs of Rings? 当单元图与环的单元 Cayley 图同构时？
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-04 DOI: 10.1142/s0219498825502676
Huadong Su, Gaohua Tang
{"title":"When Unit Graphs are Isomorphic to Unitary Cayley Graphs of Rings?","authors":"Huadong Su, Gaohua Tang","doi":"10.1142/s0219498825502676","DOIUrl":"https://doi.org/10.1142/s0219498825502676","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140745342","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
Topological actions of Temperley-Lieb monoids and representation stability Temperley-Lieb 单体的拓扑作用和表示稳定性
IF 0.8 3区 数学
Journal of Algebra and Its Applications Pub Date : 2024-04-04 DOI: 10.1142/s0219498825502603
Maithreya Sitaraman
{"title":"Topological actions of Temperley-Lieb monoids and representation stability","authors":"Maithreya Sitaraman","doi":"10.1142/s0219498825502603","DOIUrl":"https://doi.org/10.1142/s0219498825502603","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140745274","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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