Work

Idempotent Triangular Matrices over Additively Idempotent Semirings: Decompositions into Products of Semicentral Idempotents

Year: 2025

Type: article

Abstract: The explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree of a sum of diamond compositions of semicentral idempotents. We construct a decomposition of a strictly upper matrix, a unitriangular matrix, and a nil-clean matrix by semicentral idempotents.

Source: Axioms

DOI: 10.3390/axioms14020137

Author: Dimitrinka Vladeva

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4407664824

FWCI: 3.442

Cites: 31

Cited by: 1

Related to: 10