A. N. Abyzov, “Rings of formal matrices close to regular ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 10,Pages <nobr>57

This article is cited in 2 papers

Brief communications

Rings of formal matrices close to regular ones

A. N. Abyzov

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We give a description of rings of formal matrices that belong to one of the following classes of rings: semiartinian rings, $\max$-rings, $V$-rings, $SV$-rings. We study semiartinian $SSP$-rings and $SSP$-rings of formal matrices.

Keywords: ring of formal matrices, semiartinian ring, $\max$-ring, $V$-ring, $SSP$-ring.

UDC: 512.55

Presented by the member of Editorial Board: M. M. Arslanov
Received: 25.02.2015