Independence algebras

DOI10.1007/BF01190702zbMath0827.20075MaRDI QIDQ1891269

Victoria Gould

Publication date: 3 December 1995

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

setscompletely 0-simple semigroupsclosure operatorsbasisvector spacesexchange propertyRees matrix representationsendomorphism monoid of independence algebrasfree \(G\)- setsrank of subalgebras

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Free algebras (08B20) Vector spaces, linear dependence, rank, lineability (15A03) Relational systems, laws of composition (08A02) Automorphisms and endomorphisms of algebraic structures (08A35) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

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Cites Work

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• The irreducible representations of a semigroup related to the symmetric group
• The translational hull in semigroups and rings
• Products of idempotent linear transformations
• Products of idempotent endomorphisms of an independence algebra of finite rank
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices