MATHEMATICS

Rings of generalized matrices representing endomorphisms of a finite primary group

A. Yu. Stepanova, E. A. Timoshenko

Tomsk State University, Tomsk, Russian Federation

Abstract: For the endomorphism ring of a finite primary group, an isomorphic ring of generalized matrices is constructed. A criterion for the invertibility of such generalized matrices is established, and an algorithm for finding the inverse matrix in the specified ring is described.

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

UDC: 512.541+512.552

MSC: 16S50

Received: 06.01.2025
Accepted: April 10, 2025

DOI: 10.17223/19988621/94/5