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

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML...

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Bibliographic Details

Published in:	Axioms
Main Author:	Dimitrinka Vladeva
Format:	Article
Language:	English
Published:	MDPI AG 2025-02-01
Subjects:	additively idempotent semirings matrix semirings triangular matrices idempotents semicentral idempotents
Online Access:	https://www.mdpi.com/2075-1680/14/2/137