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

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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.

Keywords

Partial Order Local Ring Commutative Ring Linear Group Prime Ring 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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