CENTRALIZERS IN THE SEMIGROUP OF INJECTIVE TRANSFORMATIONS ON AN INFINITE SET

DOI10.1017/S0004972710000304zbMath1205.20063WikidataQ114117730 ScholiaQ114117730MaRDI QIDQ4931124

Janusz Konieczny

Publication date: 4 October 2010

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

zbMATH Keywords

centralizersGreen relationspartial orderssemigroups of transformationsinjective transformations

Mathematics Subject Classification ID

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

Related Items (14)

Directed graphs of inner translations of semigroups ⋮ Maximal abelian subgroups of the finite symmetric group ⋮ Green's relations in the commutative centralizers of monounary algebras. ⋮ Second centralizers in the semigroup of injective transformations ⋮ Centralizers in the full transformation semigroup. ⋮ Infinite injective transformations whose centralizers have simple structure. ⋮ Some monounary algebras with EKP ⋮ ABUNDANCE OF THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION ⋮ Conjugation in semigroups. ⋮ CENTRALISERS IN THE INFINITE SYMMETRIC INVERSE SEMIGROUP ⋮ Centralizers of full injective transformations in the symmetric inverse semigroup ⋮ Semigroups of transformations whose restrictions belong to a given semigroup ⋮ Centralizers of a monounary algebra ⋮ The commuting graph of the symmetric inverse semigroup

Cites Work

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• Normal semigroups of one-to-one transformations
• The semigroup of one-to-one transformations with finite defects
• Automorphisms of Baer-Levi Semigroups
• SOME TRANSFORMATION SEMIGROUPS WHOSE SETS OF BI-IDEALS AND QUASI-IDEALS COINCIDE

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