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Journal of Commutative Algebra最新文献

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Applications of Differential Graded Algebra Techniques in Commutative Algebra 微分渐变代数技术在交换代数中的应用
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-11-03 DOI: 10.1007/978-3-030-89694-2_19
Saeed Nasseh, S. Sather-Wagstaff
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引用次数: 2
An inequality in mixed multiplicities 混合多样性中的不平等
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-10-28 DOI: 10.1216/jca.2022.14.509
Suprajo Das
{"title":"An inequality in mixed multiplicities","authors":"Suprajo Das","doi":"10.1216/jca.2022.14.509","DOIUrl":"https://doi.org/10.1216/jca.2022.14.509","url":null,"abstract":"The theory of mixed multiplicities of (not necessarily Noetherian) filtrations of $m_R$-primary ideals in a Noetherian local ring $R$, has been developed by Cutkosky, Sarkar and Srinivasan. The objective of this article is to generalise a Minkowski type inequality given in their paper.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":"8 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84783325","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
ASYMPTOTIC DEGREE OF RANDOM MONOMIAL IDEALS 随机单项式理想的渐近度
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-10 DOI: 10.1216/jca.2023.15.99
Lily Silverstein, Dane Wilburne, J. Yang
{"title":"ASYMPTOTIC DEGREE OF RANDOM MONOMIAL IDEALS","authors":"Lily Silverstein, Dane Wilburne, J. Yang","doi":"10.1216/jca.2023.15.99","DOIUrl":"https://doi.org/10.1216/jca.2023.15.99","url":null,"abstract":"One of the fundamental invariants connecting algebra and geometry is the degree of an ideal. In this paper we derive the probabilistic behavior of degree with respect to the versatile Erdős-Renyi-type model for random monomial ideals defined in cite{rmi}. We study the staircase structure associated to a monomial ideal, and show that in the random case the shape of the staircase diagram is approximately hyperbolic, and this behavior is robust across several random models. Since the discrete volume under this staircase is related to the summatory higher-order divisor function studied in number theory, we use this connection and our control over the shape of the staircase diagram to derive the asymptotic degree of a random monomial ideal. Another way to compute the degree of a monomial ideal is with a standard pair decomposition. This paper derives bounds on the number of standard pairs of a random monomial ideal indexed by any subset of the ring variables. The standard pairs indexed by maximal subsets give a count of degree, as well as being a more nuanced invariant of the random monomial ideal.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":"93 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80261028","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
Dimension of finite free complexes over commutative Noetherian rings 交换noether环上有限自由复形的维数
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-09 DOI: 10.1090/conm/773/15529
Lars Christensen, S. Iyengar
{"title":"Dimension of finite free complexes over commutative Noetherian rings","authors":"Lars Christensen, S. Iyengar","doi":"10.1090/conm/773/15529","DOIUrl":"https://doi.org/10.1090/conm/773/15529","url":null,"abstract":"Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be computed directly from the matrices representing the differentials of the complex.","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":"130 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74889816","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
Poset embeddings of Hilbert functions for two hypersurface rings 两个超曲面环的Hilbert函数的偏序集嵌入
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2020-09-01 DOI: 10.1216/jca.2020.12.371
Mitra Koley
{"title":"Poset embeddings of Hilbert functions for two hypersurface rings","authors":"Mitra Koley","doi":"10.1216/jca.2020.12.371","DOIUrl":"https://doi.org/10.1216/jca.2020.12.371","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":"68 1","pages":"371-389"},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85902030","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 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":"28 1","pages":"435-445"},"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":"12 1","pages":"353-370"},"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":"24 1","pages":"309-318"},"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":"1 1","pages":"447-457"},"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":"5 1","pages":"333-352"},"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
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