Products of idempotents in certain semigroups of transformations

DOI10.1017/S0013091500026936zbMath0226.20072MaRDI QIDQ5632799

John M. Howie

Publication date: 1971

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (56)

Naturally ordered transformation semigroups ⋮ ON WEAKLY GRADED POSETS OF ORDER-PRESERVING MAPS UNDER THE NATURAL PARTIAL ORDER ⋮ Products of idempotents of defect 1 in certain semigroups of transformations ⋮ THE PSEUDOVARIETY GENERATED BY ALL SEMIGROUPS OF ORIENTATION-PRESERVING TRANSFORMATIONS ON A FINITE CYCLE ⋮ Combinatorial results for semigroups of order-preserving partial transformations. ⋮ Combinatorial results for semigroups of order-preserving mappings ⋮ Presentations for monoids of finite partial isometries ⋮ Ranks of Semigroups Generated by Order-Preserving Transformations with a Fixed Partition Type ⋮ On the semigroups of partial one-to-one order-decreasing finite transformations ⋮ On the semigroups of order-decreasing finite full transformations ⋮ Products of idempotent endomorphisms of free acts of infinite rank ⋮ On the Semigroups of Order-preserving and A-Decreasing Finite Transformations ⋮ Maximal regular subsemibands of the finite order-preserving partial transformation semigroups \(\mathcal {PO}(n,r)\) ⋮ The monoid of ordered partitions of a natural number ⋮ The Involutive Quantaloid of Completely Distributive Lattices ⋮ On divisors of semigroups of order-preserving mappings of a finite chain. ⋮ Combinatorial results for semigroups of order-preserving and \(A\)-decreasing finite transformations ⋮ Large Aperiodic Semigroups ⋮ Maximal regular subsemibands of finite order-preserving transformation semigroups \(K(n,r)\). ⋮ A classification of maximal idempotent-generated subsemigroups of finite orientation-preserving singular partial transformation semigroups. ⋮ Finite semilattices whose non-invertible endomorphisms are products of idempotents ⋮ Regularity and products of idempotents in endomorphism monoids of projective acts ⋮ Rank Properties of the Semigroup of Singular Transformations on a Finite Set ⋮ On the semigroups of order-preserving transformations generated by idempotents of rank n −1 ⋮ On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations. ⋮ Unnamed Item ⋮ Projections on right and left ideals of endomorphism semiring which are derivations ⋮ John Macintosh Howie: work and legacy ⋮ On semigroups of endomorphisms of a chain with restricted range. ⋮ Permutations of a semigroup that map to inverses. ⋮ A Note on Maximal Properties of Some Subsemigroups of Finite Order-Preserving Transformation Semigroups ⋮ On certain semigroups of full contraction maps of a finite chain ⋮ The large rank of a finite semigroup using prime subsets. ⋮ On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition ⋮ A note on isomorphism theorems for semigroups of order-preserving transformations with restricted range ⋮ On the ranks of certain semigroups of order-preserving transformations ⋮ Bilateral semidirect product decompositions of transformation monoids. ⋮ Endomorphisms of the semigroup of order-preserving mappings. ⋮ The rank of the semigroup of all order-preserving transformations on a finite fence ⋮ PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN ⋮ On Divisors of Pseudovarieties Generated by Some Classes of Full Transformation Semigroups ⋮ Products of idempotent order-preserving transformations of arbitrary chains ⋮ Semigroups of mappings on graphs ⋮ A classification of maximal subsemigroups of finite order-preserving transformation semigroups ⋮ Order-preserving transformations with restricted range: regularity, Green's relations, and ideals. ⋮ Congruences on monoids of transformations preserving the orientation on a finite chain. ⋮ On Rank Properties of Endomorphisms of Finite Circular Orders ⋮ On certain order-preserving transformation semigroups ⋮ Idempotent-generated semigroups and pseudovarieties ⋮ On the Monoids of Transformations that Preserve the Order and a Uniform Partition ⋮ On orientation-preserving transformations of a chain ⋮ Enumeration of certain finite semigroups of transformations ⋮ Maximal properties of some subsemigroups in finite order-preserving transformation semigroups ⋮ Endomorphisms of semigroups of order-preserving partial transformations ⋮ Locally Maximal Idempotent-generated Subsemigroups of Finite Orientation-preserving Singular Partial Transformation Semigroups ⋮ Regular order-preserving transformation semigroups

Cites Work

• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• A combinatorial property of spanning forests in connected graphs
• The number of idempotent elements in symmetric semigroups
• Semigroups of Functions Generated By Idempotents
• A characterization of idempotents in semigroups
• A Note on the Number of Idempotent Elements in Symmetric Semigroups

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