K. Sangkhanan

activity

20172024

most citedSemigroups of linear transformations whose restrictions belong to a general linear group

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.RA2024

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

Utsithon Chaichompoo, Kritsada Sangkhanan

Let $X$ be a nonempty set and $T (X)$ the full transformation semigroup on $X$ . For any equivalence relation $E$ on $X$ , define a subsemigroup $T_{E^{*}} (X)$ of $T (X)$ by $$ T_{E^*}(X…

math.RA2024★ 1 cited

Semigroups of linear transformations whose restrictions belong to a general linear group

Kritsada Sangkhanan

Let $V$ be a vector space and $U$ a fixed subspace of $V$ . We denote the semigroup of all linear transformations on $V$ under composition of functions by $L (V)$ . In this paper, we…

math.RA2023

The regular part of transformation semigroups that preserve double direction equivalence relation

Kritsada Sangkhanan

Let $T (X)$ be the full transformation semigroup on a set $X$ under the composition of functions. For any equivalence relation $E$ on $X$ , define a subsemigroup $T_{E^{*}} (X)$ of $T(X…

math.GR2017

Sandwich semigroups in locally small categories II: Transformations

Igor Dolinka, Ivana Ðurđev, James East +4

Fix sets $X$ and $Y$ , and write $P T_{X Y}$ for the set of all partial functions $X \to Y$ . Fix a partial function $a : Y \to X$ , and define the operation $⋆_{a}$ on $\mathca…

math.GR2017

Sandwich semigroups in locally small categories I: Foundations

Igor Dolinka, Ivana Đurđev, James East +4

Fix (not necessarily distinct) objects $i$ and $j$ of a locally small category $S$ , and write $S_{ij}$ for the set of all morphisms $i \to j$ . Fix a morphism $a \in S_{j i}$ , and defi…