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

E. Bunina; K. Sosov

doi:10.1007/s10958-023-06293-5

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

E. Bunina
, K. Sosov

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English
Pages (from-to)	469-478
Number of pages	10
Journal	Journal of Mathematical Sciences (United States)
Volume	269
Issue number	4
DOIs	https://doi.org/10.1007/s10958-023-06293-5
State	Published - Jan 2023
Externally published	Yes

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© 2023, Springer Nature Switzerland AG.

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10.1007/s10958-023-06293-5

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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.",

author = "E. Bunina and K. Sosov",

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AB - 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.

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

Abstract

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