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A characterization of Prüfer $v$-multiplication domains in terms of linear equations 用线性方程描述普惠$v$乘域
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.435
Lei Qiao, Q. Shu, Fanggui Wang
{"title":"A characterization of Prüfer $v$-multiplication domains in terms of linear equations","authors":"Lei Qiao, Q. Shu, Fanggui Wang","doi":"10.1216/jca.2020.12.435","DOIUrl":"https://doi.org/10.1216/jca.2020.12.435","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86843939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
About a variation of local cohomology 关于局部上同的一个变体
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.353
M. A. Khadam, P. Schenzel
{"title":"About a variation of local cohomology","authors":"M. A. Khadam, P. Schenzel","doi":"10.1216/jca.2020.12.353","DOIUrl":"https://doi.org/10.1216/jca.2020.12.353","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89169354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Multiple convex body semigroups and Buchsbaum rings 多凸体半群与Buchsbaum环
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.309
J. I. García-García, A. Sánchez-R.-Navarro, A. Vigneron-Tenorio
{"title":"Multiple convex body semigroups and Buchsbaum rings","authors":"J. I. García-García, A. Sánchez-R.-Navarro, A. Vigneron-Tenorio","doi":"10.1216/jca.2020.12.309","DOIUrl":"https://doi.org/10.1216/jca.2020.12.309","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85038435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The Skolem closure as a semistar operation Skolem闭包作为半星型操作
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.447
Michaela Steward
{"title":"The Skolem closure as a semistar operation","authors":"Michaela Steward","doi":"10.1216/jca.2020.12.447","DOIUrl":"https://doi.org/10.1216/jca.2020.12.447","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83143211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Projective generation of ideals in polynomial extensions 多项式扩展中理想的投影生成
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.333
M. Keshari, Md. Ali Zinna
{"title":"Projective generation of ideals in polynomial extensions","authors":"M. Keshari, Md. Ali Zinna","doi":"10.1216/jca.2020.12.333","DOIUrl":"https://doi.org/10.1216/jca.2020.12.333","url":null,"abstract":"Let R be an affine domain of dimension n ≥ 3 over a field of characteristic 0. Let L be a projective R[T ]-module of rank 1 and I ⊂ R[T ] a local complete intersection ideal of height n. Assume that I/I is a surjective image of L⊕R[T ]n−1. This paper examines under what conditions I is a surjective image of a projective R[T ]-module P of rank n with determinant L.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83794386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 COLORFUL HOCHSTER FORMULA AND UNIVERSAL PARAMETERS FOR FACE RINGS 一个丰富多彩的hochster公式和通用参数的面环
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-07-25 DOI: 10.1216/jca.2023.15.151
Ashleigh Adams, V. Reiner
{"title":"A COLORFUL HOCHSTER FORMULA AND UNIVERSAL PARAMETERS FOR FACE RINGS","authors":"Ashleigh Adams, V. Reiner","doi":"10.1216/jca.2023.15.151","DOIUrl":"https://doi.org/10.1216/jca.2023.15.151","url":null,"abstract":"This paper has two related parts. The first generalizes Hochster's formula on resolutions of Stanley-Reisner rings to a colorful version, applicable to any proper vertex-coloring of a simplicial complex. The second part examines a universal system of parameters for Stanley-Reisner rings of simplicial complexes, and more generally, face rings of simplicial posets. These parameters have good properties, including being fixed under symmetries, and detecting depth of the face ring. Moreover, when resolving the face ring over these parameters, the shape is predicted, conjecturally, by the colorful Hochster formula.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87907566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stickelberger and the Eigenvalue Theorem 斯蒂克尔伯格和特征值定理
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-07-24 DOI: 10.1007/978-3-030-89694-2_8
David A. Cox
{"title":"Stickelberger and the Eigenvalue Theorem","authors":"David A. Cox","doi":"10.1007/978-3-030-89694-2_8","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_8","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89582931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 11
Stillman’s question for twisted commutative algebras 扭曲交换代数的Stillman问题
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-07-06 DOI: 10.1216/jca.2022.14.315
Karthik Ganapathy
{"title":"Stillman’s question for twisted commutative algebras","authors":"Karthik Ganapathy","doi":"10.1216/jca.2022.14.315","DOIUrl":"https://doi.org/10.1216/jca.2022.14.315","url":null,"abstract":"Let $mathbf{A}_{n, m}$ be the polynomial ring $text{Sym}(mathbf{C}^n otimes mathbf{C}^m)$ with the natural action of $mathbf{GL}_m(mathbf{C})$. We construct a family of $mathbf{GL}_m(mathbf{C})$-stable ideals $J_{n, m}$ in $mathbf{A}_{n, m}$, each equivariantly generated by one homogeneous polynomial of degree $2$. Using the Ananyan-Hochster principle, we show that the regularity of this family is unbounded. This negatively answers a question raised by Erman-Sam-Snowden on a generalization of Stillman's conjecture.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74021233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Examples of multiplicities and mixed multiplicities of filtrations 多重和混合多重过滤的例子
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-07-05 DOI: 10.1090/conm/773/15530
S. Cutkosky
{"title":"Examples of multiplicities and mixed multiplicities of filtrations","authors":"S. Cutkosky","doi":"10.1090/conm/773/15530","DOIUrl":"https://doi.org/10.1090/conm/773/15530","url":null,"abstract":"In this paper we construct examples of irrational behavior of multiplicities and mixed multiplicities of divisorial filtrations. The construction makes essential use of anti-positive intersection products.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83050404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 7
A locally F-finite Noetherian domain that is not F-finite 不是f有限的局部f有限诺瑟域
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-06-10 DOI: 10.1216/jca.2022.14.177
T. Dumitrescu, Cristodor Ionescu
{"title":"A locally F-finite Noetherian domain that is not F-finite","authors":"T. Dumitrescu, Cristodor Ionescu","doi":"10.1216/jca.2022.14.177","DOIUrl":"https://doi.org/10.1216/jca.2022.14.177","url":null,"abstract":"Using an old example of Nagata, we construct a Noetherian ring of prime characteristic p, whose Frobenius morphism is locally finite, but not finite.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72480406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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