Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

DOI10.1134/S1064562417010057zbMath1366.15013OpenAlexW2606926094MaRDI QIDQ5919812

E. I. Bunina, V. V. Nemiro, Alexander V. Mikhalev

Publication date: 15 June 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417010057

zbMATH Keywords

semigroupgroups of quotientsinvertible nonnegative matriceslinearly ordered skewfield

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Other groups of matrices (20H99)

Cites Work

• Endomorphisms of semigroups of invertible nonnegative matrices over ordered rings
• Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings.
• Elementary equivalence of the semigroup of invertible matrices with nonnegative elements.
• Automorphisms of the semigroup of nonnegative invertible matrices of order two over partially ordered commutative rings.
• Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings
• The group of fractions of the semigroup of invertible nonnegative matrices of order three over a field.
• Automorphisms of semigroups of invertible matrices with nonnegative integer elements
• Automorphisms of the semigroup of invertible matrices with nonnegative elements
• AUTOMORPHISMS AND ANTI-AUTOMORPHISMS OF A SEMIGROUP OF INVERTIBLE MATRICES WITH NONNEGATIVE ELEMENTS
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