Partial orders on linear transformation semigroups

DOI10.1017/S0308210500003942zbMath1083.20058OpenAlexW349015848MaRDI QIDQ4681978

Robert P. Sullivan

Publication date: 9 June 2005

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003942

zbMATH Keywords

regular semigroupsvector spacesmaximal elementsnatural partial orderminimal elementssemigroups of partial linear transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Regular semigroups (20M17) Linear transformations, semilinear transformations (15A04) Ordered semigroups and monoids (06F05)

Related Items (10)

A natural partial order on certain semigroups of transformations with restricted range. ⋮ A natural partial order on partition order-decreasing transformation semigroups ⋮ NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE ⋮ A natural partial order on certain semigroups of transformations restricted by an equivalence ⋮ THE NATURAL ORDER FOR THE E-ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ⋮ NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET ⋮ THE NATURAL PARTIAL ORDER ON LINEAR SEMIGROUPS WITH NULLITY AND CO-RANK BOUNDED BELOW ⋮ Natural partial order and finiteness conditions on semigroups of linear transformations with invariant subspaces ⋮ A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION ⋮ THE NATURAL PARTIAL ORDER ON THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION

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