Výsledky vyhledávání - "Sangkhanan, Kritsada"

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Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

Autor: Chaichompoo, Utsithon, Sangkhanan, Kritsada

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)=\{\alpha\in T(X):\text{for all}\ x,y\in X, (x,y)\in E\Leftrightarrow

Externí odkaz: http://arxiv.org/abs/2411.15081

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

Autor: Sangkhanan, Kritsada

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 study the semigroup of all linear transformations on $V$ whose restric

Externí odkaz: http://arxiv.org/abs/2404.02224

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

Autor: Sangkhanan, Kritsada

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 $T(X)$ by $$T_{E^*}(X)=\{\alpha\in T(X):\text{for all}\ x,y\in X, (x,y)\in

Externí odkaz: http://arxiv.org/abs/2306.08932

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Sandwich semigroups in locally small categories I: Foundations

Autor: Dolinka, Igor, Đurđev, Ivana, East, James, Honyam, Preeyanuch, Sangkhanan, Kritsada, Sanwong, Jintana, Sommanee, Worachead

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 $a\in S_{ji}$, and define an operation $\star_a$ on $S_{ij}$ by $x\star_ay=xay$ for all $x,y\

Externí odkaz: http://arxiv.org/abs/1710.01890

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Sandwich semigroups in locally small categories II: Transformations

Autor: Dolinka, Igor, Ðurđev, Ivana, East, James, Honyam, Preeyanuch, Sangkhanan, Kritsada, Sanwong, Jintana, Sommanee, Worachead

Fix sets $X$ and $Y$, and write $\mathcal{PT}_{XY}$ for the set of all partial functions $X\to Y$. Fix a partial function $a:Y\to X$, and define the operation $\star_a$ on $\mathcal{PT}_{XY}$ by $f\star_ag=fag$ for $f,g\in\mathcal{PT}_{XY}$. The sand

Externí odkaz: http://arxiv.org/abs/1710.01891

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Akademický článek

A partial order on transformation semigroups with restricted range that preserve double direction equivalence

Autor: Sangkhanan Kritsada

Publikováno v: Open Mathematics, Vol 19, Iss 1, Pp 1366-1377 (2021)

Let T(X)T\left(X) be the full transformation semigroup on a set XX. For an equivalence EE on XX, let TE∗(X)={α∈T(X):∀x,y∈X,(x,y)∈E⇔(xα,yα)∈E}.{T}_{{E}^{\ast }}\left(X)=\left\{\alpha \in T\left(X):\forall x,y\in X,\left(x,y)\in E\iff

Externí odkaz: https://doaj.org/article/b63ac0eb276f4b1a8ce1d3fe12d9f052