Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings

E. Bunina; K. Sosov

Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings

E. Bunina, K. Sosov

Department of Mathematics

Bar-Ilan University

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

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)	39-54
Number of pages	16
Journal	Fundamental and Applied Mathematics
Volume	23
Issue number	4
State	Published - 2021

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

Cite this

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title = "Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings",

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",

year = "2021",

language = "الإنجليزيّة",

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journal = "Fundamental and Applied Mathematics",

issn = "1560-5159",

publisher = "Moscow State University",

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AU - Bunina, E.

AU - Sosov, K.

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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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M3 - مقالة

SN - 1560-5159

VL - 23

SP - 39

EP - 54

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 4

ER -

Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings

Abstract

All Science Journal Classification (ASJC) codes

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