Schur rings over Free Abelian Group of Rank Two

Fuente: arXiv
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Main Authors: Chen, Gang, He, Jiawei, Wu, Zhiman
Format: Preprint
Published: 2024
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_version_ 1866914662667255808
author Chen, Gang
He, Jiawei
Wu, Zhiman
author_facet Chen, Gang
He, Jiawei
Wu, Zhiman
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_00383
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Schur rings over Free Abelian Group of Rank Two
Chen, Gang
He, Jiawei
Wu, Zhiman
Group Theory
05E30, 05E15, 20C05
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.
title Schur rings over Free Abelian Group of Rank Two
topic Group Theory
05E30, 05E15, 20C05
url https://arxiv.org/abs/2402.00383