Semigroup Algebras of Submonoids of Polycyclic-by-Finite Groups and Maximal Orders

被引：1

作者：

Isabel Goffa

Eric Jespers

Jan Okniński

机构：

[1] Vrije Universiteit Brussel,Department of Mathematics

[2] Warsaw University,Institute of Mathematics

来源：

Algebras and Representation Theory | 2009年 / 12卷

关键词：

Semigroup algebra; Maximal order; Polycyclic-by-finite group; Primary 16P40; 16S36; 16H05; Secondary 20M25; 20G07;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Necessary and sufficient conditions are given for a prime Noetherian algebra K[S] of a submonoid S of a polycyclic-by-finite group G to be a maximal order. These conditions are entirely in terms of the monoid S. This extends earlier results of Brown concerned with the group ring case and of the authors for the case where K[S] satisfies a polynomial identity.

引用

页码：357 / 363

页数：6

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