Results 111 to 120 of about 866 (222)

The semigroup generated by the idempotents of a partition monoid

open access: yes, 2012
We study the idempotent generated subsemigroup of the partition monoid. In the finite case this subsemigroup consists of the identity and all the singular partitions. In the infinite case, the subsemigroup is described in terms of certain parameters that
East, James (8266179)   +1 more
core   +2 more sources

Transformation Semigroups with the Deformed Multiplication

open access: yes, 2005
Pairwise non-isomorphic semigroups obtained from the finite inverse symmetric semigroup $\mathcal{IS}_n ,$ finite symmetric semigroup $\mathcal{T}_n$ and bicyclic semigroup by the deformed multiplication proposed by Ljapin are classified.
openaire   +3 more sources

Green's relations and regularity for semigroups of transformations that preserve reverse direction equivalence

open access: yes, 2011
Science and Technology Foundation of Guizhou Province, P.R. China [LKS [2010] 02]Let T(X) denote the full transformation semigroup on a set X. For an equivalence E on X, let T(there exists)(X) = {a is an element of T(X) : for all x, y is an element of X,
曾吉文   +3 more
core  

Defining relations for idempotent generators in finite partial transformation semigroups

open access: yes, 2014
We give a presentation for the semigroup of all singular partial transformations on a finite set, in terms of the generating set consisting of all idempotent partial transformations of corank ...
East, James (R16839)
core   +1 more source

Green's relations and regularity for semigroups of transformations that preserve double direction equivalence

open access: yes, 2010
Let T(X) denote the full transformation semigroup on a set X. For an equivalence E on X, let T(E*)(X) = {alpha is an element of T(X) : for all x, y is an element of X, (x, y) is an element of E double left right arrow (x alpha, y alpha) is an element of ...
Xu, Bo   +3 more
core  

On the syntactic transformation semigroup of a language generated by a finite biprefix code

open access: yes, 1982
Let P be a finite biprefix code and let X=(Q, S) be the syntactic transformation semigroup (ts) of P+. We show that if e ϵ S is an idempotent, then the ts Xe = (Qe, eqe) consists of partial one to one maps.
Stuart W. Margolis, Margolis, Stuart W.
core   +1 more source

Groupoids associated to semigroup actions

open access: yes, 2015
23 pagesIn this paper, we consider topological semigroup actions on compact topological spaces. Under mild assumptions on the semigroup and the action, we construct a semi-direct product groupoid with a Haar system.
Renault, Jean, Sundar, S.
core   +1 more source

A study of graph closed subsemigroups of a full transformation semigroup

open access: yes, 1976
Let T X {T_X} be the full transformation semigroup on the set X and let S be a subsemigroup of T X {T_X} . We may associate with S a digraph
C. M. Reis, R. G. Biggs, S. A. Rankin
core   +1 more source

Completely regular semigroups as semigroups of partial transformations

open access: yesSemigroup Forum, 1994
Let \(S\) be a completely regular semigroup. The (right) Schützenberger representation of \(S\) is the morphism \(\rho: S \to {\mathcal P\mathcal T}(S)\), where for \(a \in S\), \(\rho_ a\) denotes right translation by \(a\), restricted to the principal ideal \(S a S\) that it generates.
openaire   +2 more sources

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