{"title":"Content and Q-sequences in mixed characteristic local rings","authors":"Olivia Strahan","doi":"10.1016/j.jalgebra.2024.11.022","DOIUrl":null,"url":null,"abstract":"<div><div>It is proved that a system of parameters is always a Q-sequence (in the sense of Hochster and Huneke) for several classes of mixed characteristic rings: rings in which the characteristic of the residue field is a nilpotent element, and mixed characteristic analogues of Stanley-Reisner rings, semigroup rings, and toric face rings.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"666 ","pages":"Pages 633-656"},"PeriodicalIF":0.8000,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002186932400646X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
It is proved that a system of parameters is always a Q-sequence (in the sense of Hochster and Huneke) for several classes of mixed characteristic rings: rings in which the characteristic of the residue field is a nilpotent element, and mixed characteristic analogues of Stanley-Reisner rings, semigroup rings, and toric face rings.
期刊介绍：
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
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