Products of two idempotent transformations over arbitrary sets and vector spaces

DOI10.1017/S0004972700031427zbMath0904.20047MaRDI QIDQ4397364

Rachel Thomas

Publication date: 19 January 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idempotentsendomorphism semigroupsfull transformation semigroupslinear transformationsindependence algebras

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Relational systems, laws of composition (08A02) Automorphisms and endomorphisms of algebraic structures (08A35)

Cites Work

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• Embedding finite semigroups in finite semibands of minimal depth
• A congruence-free semigroup associated with an infinite cardinal number
• Products of idempotent linear transformations
• A combinatorial property of finite full transformation semigroups
• Some subsemigroups of infinite full transformation semigroups
• Products of idempotent endomorphisms of an independence algebra of finite rank
• Products of idempotent endomorphisms of an independence algebra of infinite rank
• Nilpotents and congruences on semigroups of transformations with fixed rank
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

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