Work

Defining Relations in Generalized Elementary m-unit Triangular Groups over an Associative Ring

Year: 2025

Type: article

Abstract: In this paper, we find the forming elements and defining relations of a generalized elementary m-triangular group of degree over an arbitrary associative ring . In solving this problem, the method of letter transformation is used, developed by one of the authors in his earlier works. The group studied in this paper turned out to be closely related to another issue of algebra with radical rings. Using some of the intermediate results of the work, some new examples (both simple and complex) of matrix radical rings are also found here.

Source: Bulletin of Science and Practice

DOI: 10.33619/2414-2948/111/04

Authors: Zh. Satarov, V. Isakova, Ch. Zholdoshova

Institutions: Osh Technological University, Osh State Pedagogical University named after A. Myrsabekov

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407597670

FWCI:

Cites:

Cited by:

Related to: 10