THE IDEAL STRUCTURE OF SEMIGROUPS OF TRANSFORMATIONS WITH RESTRICTED RANGE

DOI10.1017/S0004972710001814zbMath1214.20059MaRDI QIDQ3169351

Suzana Mendes-Gonçalves, Robert P. Sullivan

Publication date: 28 April 2011

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

zbMATH Keywords

regular elementsidealsGreen relationstransformation semigroupsregular subsemigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Linear transformations, semilinear transformations (15A04)

Related Items (10)

THE REGULAR PART OF A SEMIGROUP OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE ⋮ The semigroup of endomorphisms with restricted range of an independence algebra ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ Unnamed Item ⋮ On semigroups of endomorphisms of a chain with restricted range. ⋮ 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 ⋮ Order-preserving transformations with restricted range: regularity, Green's relations, and ideals. ⋮ Semigroups of transformations whose restrictions belong to a given semigroup ⋮ On the semigroup of order-preserving partial isometries of a finite chain with restricted range

Cites Work

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• Semigroups of transformations restricted by an equivalence.
• Maximal and minimal congruences on some semigroups.
• SEMIGROUPS OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE
• Some results concerning a transformation semigroup

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