On the nilpotent ranks of certain semigroups of transformations

DOI10.1017/S0017089500030482zbMath0801.20050MaRDI QIDQ4291595

G. U. Garba

Publication date: 4 December 1994

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

nilpotent elementsrankStirling numberinverse subsemigroupsnilranksemigroup of strictly partial transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Inverse semigroups (20M18)

Related Items (13)

On the Number of Nilpotents in the Partial Symmetric Semigroup ⋮ Products of quasi-idempotents in finite symmetric inverse semigroups ⋮ Unnamed Item ⋮ The rank of the endomorphism monoid of a uniform partition. ⋮ Motzkin monoids and partial Brauer monoids ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ Quasi-idempotent ranks of the proper ideals in finite symmetric inverse semigroups ⋮ The rank of the semigroup of transformations stabilising a partition of a finite set ⋮ On relative ranks of full transformation semigroups ⋮ On the nilpotent ranks of the principal factors of certain semigroups of partial transformations ⋮ On the Semigroup of Partial Isometries of a Finite Chain ⋮ The Ranks of Ideals in Various Transformation Monoids ⋮ The (p,q)-potent ranks of certain semigroups of transformations

Cites Work

• Unnamed Item
• Semigroups generated by nilpotent transformations
• On the ranks of certain semigroups of order-preserving transformations
• Idempotent rank in finite full transformation semigroups
• On the ranks of certain finite semigroups of transformations
• Nilpotents in finite symmetric inverse semigroups

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