Endomorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two Over Commutative Ordered Rings

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Abstract

Let R be a linearly ordered commutative ring with 1/2 generated by its invertible elements, G2(R) be the subsemigroup in GL2(R) consisting of all matrices with nonnegative elements. In this paper, we describe endomorphisms of the given semigroup.

Original languageEnglish
Pages (from-to)469-478
Number of pages10
JournalJournal of Mathematical Sciences (United States)
Volume269
Issue number4
DOIs
StatePublished - Jan 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023, Springer Nature Switzerland AG.

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