English

Schur rings over Free Abelian Group of Rank Two

Group Theory 2024-02-02 v1

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.

Keywords

Cite

@article{arxiv.2402.00383,
  title  = {Schur rings over Free Abelian Group of Rank Two},
  author = {Gang Chen and Jiawei He and Zhiman Wu},
  journal= {arXiv preprint arXiv:2402.00383},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2305.08608