Rank and idempotent rank of finite full transformation semigroups with restricted range.

DOI10.1007/S00233-013-9467-XzbMath1277.20076OpenAlexW2164488308MaRDI QIDQ372355

Worachead Sommanee, Jintana Sanwong

Publication date: 7 October 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9467-x

zbMATH Keywords

rankGreen relationsidempotent rankfinite transformation semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (12)

On the rank of generalized transformation semigroups ⋮ Embedding theorems and maximal subsemigroups of some linear transformation semigroups with restricted range ⋮ THE REGULAR PART OF A SEMIGROUP OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE ⋮ On certain semigroups of transformations with restricted range ⋮ On the rank of generalized order-preserving transformation semigroups ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ Sandwich semigroups in locally small categories. II: Transformations ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals ⋮ On the rank of transformation semigroup T(n;m) ⋮ Structure of principal one-sided ideals ⋮ Order-preserving transformations with restricted range: regularity, Green's relations, and ideals. ⋮ On the semigroup of order-preserving partial isometries of a finite chain with restricted range

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• Idempotent rank in finite full transformation semigroups
• On the ranks of certain finite semigroups of transformations
• Idempotents in partial transformation semigroups

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