On the semigroups of partial one-to-one order-decreasing finite transformations

DOI10.1017/S0308210500025737zbMath0789.20075OpenAlexW2325971850MaRDI QIDQ4275579

Abdullahi Umar

Publication date: 16 June 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500025737

zbMATH Keywords

Green's relationsidempotentsadequate semigroups\({\mathcal L}^*\)-class\({\mathcal R}^*\)-classtype \(A\) semigroupleft \(*\)-idealsquasi-idempotentsright \(*\)-idealssemigroup of strictly partial one-to-one maps

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15)

Related Items (17)

Products of quasi-idempotents in finite symmetric inverse semigroups ⋮ The monoid of orientation-preserving \(k\)-extensive transformations ⋮ The rank of the inverse semigroup of partial automorphisms on a finite fence ⋮ Quasi-idempotent ranks of the proper ideals in finite symmetric inverse semigroups ⋮ On the semigroup of all partial fence-preserving injections on a finite set ⋮ On certain semigroups of transformations with restricted range ⋮ The rank of the inverse semigroup of all partial automorphisms on a finite crown ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On certain semigroups of full contraction maps of a finite chain ⋮ Unnamed Item ⋮ Regular centralizers of idempotent transformations. ⋮ Unnamed Item ⋮ EXTENSIONS OF CLIFFORD SUBSEMIGROUPS OF THE FINITE SYMMETRIC INVERSE SEMIGROUP ⋮ On the Semigroup of Partial Isometries of a Finite Chain ⋮ Presentations for subsemigroups of $PD_n$ ⋮ On the monoid of all injective orientation-preserving and extensive partial transformations

Cites Work

• Unnamed Item
• Équipotence et unicité de systèmes générateurs minimaux dans certains monoides
• Enumeration of injective partial transformations
• Adequate Semigroups
• Nilpotents in finite symmetric inverse semigroups
• Abundant Semigroups
• Idempotent-connected abundant semigroups
• On the semigroups of order-decreasing finite full transformations
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• Products of idempotents in certain semigroups of transformations

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