A natural partial order on certain semigroups of transformations with restricted range.

DOI10.1007/s00233-014-9686-9zbMath1341.20064OpenAlexW2068020816MaRDI QIDQ284653

Lei Sun, Jun-ling Sun

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00233-014-9686-9

zbMATH Keywords

compatibilitytransformation semigroupsmaximal elementsnatural partial orderminimal elements

Mathematics Subject Classification ID

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

Related Items (10)

ON WEAKLY GRADED POSETS OF ORDER-PRESERVING MAPS UNDER THE NATURAL PARTIAL ORDER ⋮ On the rank of generalized transformation semigroups ⋮ A natural partial order on partition order-decreasing transformation semigroups ⋮ On the rank of generalized order-preserving transformation semigroups ⋮ A natural partial order on certain semigroups of transformations restricted by an equivalence ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals ⋮ Structure of principal one-sided ideals ⋮ Unnamed Item ⋮ Regularity and Green's relations on semigroups of transformations with restricted range that preserve an equivalence ⋮ A partial order on transformation semigroups with restricted range that preserve double direction equivalence

Cites Work

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• Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence Relation
• Naturally Ordered Transformation Semigroups Preserving an Equivalence Relation and a Cross-section
• NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE
• PARTIAL ORDERS ON PARTIAL BAER–LEVI SEMIGROUPS
• A Natural Partial Order for Semigroups
• Some results concerning a transformation semigroup
• Partial orders on linear transformation semigroups
• NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET
• A NOTE ON NATURALLY ORDERED SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET

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