Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings

E. I. Bunina; P. P. Semenov

doi:10.1007/s10958-009-9687-5

Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings

E. I. Bunina
, P. P. Semenov

Lomonosov Moscow State University

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

10 Scopus citations

Abstract

In the paper, we prove that if two semigroups of invertible matrices with nonnegative elements over partially ordered commutative rings are elementarily equivalent, then their dimensions coincide and the corresponding semirings of nonnegative elements are elementarily equivalent.

Original language	English
Pages (from-to)	493-499
Number of pages	7
Journal	Journal of Mathematical Sciences (United States)
Volume	163
Issue number	5
DOIs	https://doi.org/10.1007/s10958-009-9687-5
State	Published - Nov 2009
Externally published	Yes

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Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings

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