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math.RA2024
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups
Utsithon Chaichompoo, Kritsada Sangkhanan
Let be a nonempty set and the full transformation semigroup on . For any equivalence relation on , define a subsemigroup of by $$ T_{E^*}(X…
math.RA2024
Semigroups of linear transformations whose restrictions belong to a general linear group
Kritsada Sangkhanan
Let be a vector space and a fixed subspace of . We denote the semigroup of all linear transformations on under composition of functions by . In this paper, we…
math.RA2023
The regular part of transformation semigroups that preserve double direction equivalence relation
Kritsada Sangkhanan
Let be the full transformation semigroup on a set under the composition of functions. For any equivalence relation on , define a subsemigroup of $T(X…