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Schur rings over Free Abelian Group of Rank Two

2024/02/01 by Gang Chen, Chen, Gang, Jia Wei He +3
Mathematics · Computer Science · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2402.00383

Abstract

Schur rings are a type of subrings of group rings afforded by a partition of the underlined group. In this paper, Schur rings over free abelian group of rank two are classified under the assumption that one of the direct factor is a union of some basic sets. There are eight different types, and all but one type of which are traditional.

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