The Ranks of Ideals in Various Transformation Monoids

DOI10.1080/00927872.2013.847946zbMath1320.20061OpenAlexW1970045764MaRDI QIDQ5245156

Ping Zhao, Vítor H. Fernandes

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.847946

zbMATH Keywords

numbers of generatorsidealsidempotent ranksidempotent generatorstransformation monoids of finite chains

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (16)

Ranks of ideals in inverse semigroups of difunctional binary relations ⋮ Fixed points of order-preserving transformations ⋮ Motzkin monoids and partial Brauer monoids ⋮ Quasi-idempotent ranks of the proper ideals in finite symmetric inverse semigroups ⋮ Endomorphisms of semigroups of oriented transformations ⋮ On the nilpotent ranks of the principal factors of orientation-preserving transformation semigroups ⋮ The ranks of certain semigroups of partial isometries ⋮ On the ranks of certain ideals of monotone contractions ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chains ⋮ Generating sets of certain finite subsemigroups of monotone partial bijections ⋮ Maximal regular subsemibands of finite orientation-preserving partial transformation semigroup ⋮ Partial automorphisms and injective partial endomorphisms of a finite undirected path ⋮ On Semigroups of Orientation-preserving Transformations with Restricted Range ⋮ Ranks of monoids of endomorphisms of a finite undirected path ⋮ A general approach for generating sets of certain subsemigroups of monotone maps ⋮ On orientation-preserving transformations of a chain

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