{"title":"Decomposition of idempotent 2-cocycles","authors":"C. Lamprakis, Th. Theohari-Apostolidi","doi":"10.4064/cm8720-3-2022","DOIUrl":null,"url":null,"abstract":"Let L be a finite Galois field extension of K with Galois group G. We decompose any idempotent 2-cocycle f using finite sequences of descending two-sided ideals of the corresponding weak crossed product algebra Af . We specialize the results in case f is the corresponding idempotent 2-cocycle fr for some semilinear map r ∶ G → Ω, where Ω is a multiplicative monoid with minimum element.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/cm8720-3-2022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let L be a finite Galois field extension of K with Galois group G. We decompose any idempotent 2-cocycle f using finite sequences of descending two-sided ideals of the corresponding weak crossed product algebra Af . We specialize the results in case f is the corresponding idempotent 2-cocycle fr for some semilinear map r ∶ G → Ω, where Ω is a multiplicative monoid with minimum element.
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