Schur rings over Free Abelian Group of Rank Two

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.

arXiv admin note: text overlap with arXiv:2305.08608