{"title":"Analogies of monic inversion principles in Laurent polynomial rings","authors":"Sourjya Banerjee , Mrinal Kanti Das","doi":"10.1016/j.jalgebra.2025.02.004","DOIUrl":null,"url":null,"abstract":"<div><div>This article focuses on establishing results concerning the inversion of special monic polynomials in Laurent polynomial rings. We prove monic inversion principles for unimodular rows, matrices and ideals; offering various applications in the area related to projective modules over Laurent polynomial algebras.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"669 ","pages":"Pages 220-242"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-05","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/S0021869325000572","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
This article focuses on establishing results concerning the inversion of special monic polynomials in Laurent polynomial rings. We prove monic inversion principles for unimodular rows, matrices and ideals; offering various applications in the area related to projective modules over Laurent polynomial algebras.
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.