Pub Date : 2024-06-11DOI: 10.1080/00927872.2024.2357730
Kyle Maddox, Lance Edward Miller
In this article, we provide explicit and effective bounds for Frobenius test exponents, integers crucial for computing Frobenius closures of parameter ideals, in new settings and articulate their e...
{"title":"Generalized F-depth and graded nilpotent singularities","authors":"Kyle Maddox, Lance Edward Miller","doi":"10.1080/00927872.2024.2357730","DOIUrl":"https://doi.org/10.1080/00927872.2024.2357730","url":null,"abstract":"In this article, we provide explicit and effective bounds for Frobenius test exponents, integers crucial for computing Frobenius closures of parameter ideals, in new settings and articulate their e...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525271","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}
Pub Date : 2024-06-06DOI: 10.1080/00927872.2024.2352073
Daniel Larsson
This paper is concerned with the construction of a small, but non-trivial, example of a polynomial identity algebra, which we call the Jackson algebra, that will be used in sequels to this paper to...
{"title":"Kummer–Witt–Jackson algebras","authors":"Daniel Larsson","doi":"10.1080/00927872.2024.2352073","DOIUrl":"https://doi.org/10.1080/00927872.2024.2352073","url":null,"abstract":"This paper is concerned with the construction of a small, but non-trivial, example of a polynomial identity algebra, which we call the Jackson algebra, that will be used in sequels to this paper to...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"13 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525387","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}
Pub Date : 2024-06-03DOI: 10.1080/00927872.2024.2358417
Paolo Lipparini
A variety is a class of algebraic structures axiomatized by a set of equations. An equation is basic if there is at most one occurrence of a nonnullary operation symbol on each side. We show that a...
{"title":"Varieties defined by basic equations have the amalgamation property","authors":"Paolo Lipparini","doi":"10.1080/00927872.2024.2358417","DOIUrl":"https://doi.org/10.1080/00927872.2024.2358417","url":null,"abstract":"A variety is a class of algebraic structures axiomatized by a set of equations. An equation is basic if there is at most one occurrence of a nonnullary operation symbol on each side. We show that a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"52 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253662","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}
Pub Date : 2024-05-31DOI: 10.1080/00927872.2024.2356252
Érica Z. Fornaroli, Roger E. M. Pezzott
Let FI(X, K) be the finitary incidence algebra of a non-connected partially ordered set X over a field K of characteristic different from 2. For the case where every multiplicative automorphism of ...
让 FI(X, K) 是特性不同于 2 的域 K 上的非连接部分有序集 X 的有限入射代数。
{"title":"Classification of involutions on finitary incidence algebras of non-connected posets","authors":"Érica Z. Fornaroli, Roger E. M. Pezzott","doi":"10.1080/00927872.2024.2356252","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356252","url":null,"abstract":"Let FI(X, K) be the finitary incidence algebra of a non-connected partially ordered set X over a field K of characteristic different from 2. For the case where every multiplicative automorphism of ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"26 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525272","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}
Pub Date : 2024-05-29DOI: 10.1080/00927872.2024.2356248
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...
我们考虑有限单元集 P 的内 2 次方 IP 理想，称其为 P 的单元理想。对于非混合理想 IP 的高，我们可以用......的数量来解释。
{"title":"Binomial ideals attached to finite collections of cells","authors":"Jürgen Herzog, Takayuki Hibi, Somayeh Moradi","doi":"10.1080/00927872.2024.2356248","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356248","url":null,"abstract":"We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525273","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}
Pub Date : 2024-05-29DOI: 10.1080/00927872.2024.2356249
Kamal Paykan, Mohammad Habibi, Ali Parsian
Let R be a ring with a monomorphism α and an α-derivation δ. In this article, we give a simple and different proof about the semiprimitivity of Ore extensions which states that the skew polynomial ...
{"title":"A note on the Jacobson radical of Ore extensions","authors":"Kamal Paykan, Mohammad Habibi, Ali Parsian","doi":"10.1080/00927872.2024.2356249","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356249","url":null,"abstract":"Let R be a ring with a monomorphism α and an α-derivation δ. In this article, we give a simple and different proof about the semiprimitivity of Ore extensions which states that the skew polynomial ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"8 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253635","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}
Pub Date : 2024-05-28DOI: 10.1080/00927872.2024.2356250
Himanshu Sharma, Ritumoni Sarma, Shanta Laishram
One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...
代数数论最古老的问题之一是找到一种方法，以确定对于某个 θ∈K 的数域 K 的整数环是否为 Z[θ]；对于一个数域，这个问题的答案是...
{"title":"Monogenity of iterates of irreducible binomials","authors":"Himanshu Sharma, Ritumoni Sarma, Shanta Laishram","doi":"10.1080/00927872.2024.2356250","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356250","url":null,"abstract":"One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"68 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253535","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}
Pub Date : 2024-05-26DOI: 10.1080/00927872.2024.2354916
Noyan Er
We study rings whose modules and module homomorphisms display behavior similar to that of sets and their maps. For example, whenever there is an epimorphism A→B, there is a monomorphism B→A (Artini...
{"title":"When do modules mimic arbitrary sets?","authors":"Noyan Er","doi":"10.1080/00927872.2024.2354916","DOIUrl":"https://doi.org/10.1080/00927872.2024.2354916","url":null,"abstract":"We study rings whose modules and module homomorphisms display behavior similar to that of sets and their maps. For example, whenever there is an epimorphism A→B, there is a monomorphism B→A (Artini...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141173325","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}
Pub Date : 2024-05-26DOI: 10.1080/00927872.2024.2354919
R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka
The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...
弱交换性群 χ(G)由两个同构群 G 和 Gφ 生成，对于所有 g∈G，它们的关系为 [g,gφ]=1。
{"title":"Finiteness conditions for the weak commutativity group and related constructions","authors":"R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka","doi":"10.1080/00927872.2024.2354919","DOIUrl":"https://doi.org/10.1080/00927872.2024.2354919","url":null,"abstract":"The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167028","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}
Pub Date : 2024-05-19DOI: 10.1080/00927872.2024.2353283
Arif Dönmez, Markus Reineke
We study moduli spaces of (semi-)stable representations of one-point extensions of quivers by rigid representations. This class of moduli spaces unifies Grassmannians of subrepresentations of rigid...
{"title":"Moduli of representations of one-point extensions","authors":"Arif Dönmez, Markus Reineke","doi":"10.1080/00927872.2024.2353283","DOIUrl":"https://doi.org/10.1080/00927872.2024.2353283","url":null,"abstract":"We study moduli spaces of (semi-)stable representations of one-point extensions of quivers by rigid representations. This class of moduli spaces unifies Grassmannians of subrepresentations of rigid...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"35 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167033","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：