A combinatorial property of finite full transformation semigroups

DOI10.1017/S0308210500027797zbMath0654.20080OpenAlexW2001759672MaRDI QIDQ3800302

Boris M. Schein, John M. Howie, Edmund F. Robertson

Publication date: 1988

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/s0308210500027797

zbMATH Keywords

complexityidempotentssemigroup of singular transformationsadmissible \(\alpha\)-triplesnonstationary block

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (12)

On the semigroups of order-decreasing finite full transformations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ John Macintosh Howie: work and legacy ⋮ Products of idempotents in finite full transformation semigroups ⋮ Products of idempotents in finite full transformation semigroups ⋮ Products of two idempotent transformations over arbitrary sets and vector spaces ⋮ A characterization of selfmaps which are composites of three projections ⋮ Unnamed Item ⋮ Combinatorial results relating to products of idempotents in finite full transformation semigroups ⋮ Products of three idempotent transformations ⋮ Enumeration of certain finite semigroups of transformations

Cites Work

• Some subsemigroups of infinite full transformation semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• The number of idempotent elements in symmetric semigroups
• A characterization of idempotents in semigroups
• A Note on the Number of Idempotent Elements in Symmetric Semigroups
• Products of idempotents in finite full transformation semigroups

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