This article is cited in 2 papers

MATHEMATICS

Matrix representation of endomorphisms of primary groups of small ranks

A. Yu. Stepanova, E. A. Timoshenko

Tomsk State University, Tomsk, Russian Federation

Abstract: For endomorphism rings of finite primary Abelian groups of rank 2 and 3, generalized matrix rings isomorphic to them are constructed. In each of these matrix rings, necessary and sufficient conditions for the invertibility of matrices are found, as well as formulas for constructing the inverse matrix.

Keywords: primary group, endomorphism ring, generalized matrix ring, inverse matrix.

UDC: 512.541

MSC: 16S50

Received: 09.08.2021

DOI: 10.17223/19988621/74/4

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