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RISS 인기검색어
- 검색키워드
- 저자 : Sanwong, Jintana (검색결과 5 건)
- 무료
- 기관 내 무료
- 유료
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SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET
Honyam, Preeyanuch,Sanwong, Jintana Korean Mathematical Society 2011 대한수학회지 Vol.48 No.2
Let T(X) denote the semigroup (under composition) of transformations from X into itself. For a fixed nonempty subset Y of X, let S(X, Y) = {${\alpha}\;{\in}\;T(X)\;:\;Y\;{\alpha}\;{\subseteq}\;Y$}. Then S(X, Y) is a semigroup of total transformations of X which leave a subset Y of X invariant. In this paper, we characterize when S(X, Y) is isomorphic to T(Z) for some set Z and prove that every semigroup A can be embedded in S($A^1$, A). Then we describe Green's relations for S(X, Y) and apply these results to obtain its group H-classes and ideals.
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INJECTIVE PARTIAL TRANSFORMATIONS WITH INFINITE DEFECTS
Singha, Boorapa,Sanwong, Jintana,Sullivan, Robert Patrick Korean Mathematical Society 2012 대한수학회보 Vol.49 No.1
In 2003, Marques-Smith and Sullivan described the join ${\Omega}$ of the 'natural order' $\leq$ and the 'containment order' $\subseteq$ on P(X), the semigroup under composition of all partial transformations of a set X. And, in 2004, Pinto and Sullivan described all automorphisms of PS(q), the partial Baer-Levi semigroup consisting of all injective ${\alpha}{\in}P(X)$ such that ${\mid}X{\backslash}X{\alpha}\mid=q$, where $N_0{\leq}q{\leq}{\mid}X{\mid}$. In this paper, we describe the group of automorphisms of R(q), the largest regular subsemigroup of PS(q). In 2010, we studied some properties of $\leq$ and $\subseteq$ on PS(q). Here, we characterize the meet and join under those orders for elements of R(q) and PS(q). In addition, since $\leq$ does not equal ${\Omega}$ on I(X), the symmetric inverse semigroup on X, we formulate an algebraic version of ${\Omega}$ on arbitrary inverse semigroups and discuss some of its properties in an algebraic setting.
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Ideals of the Multiplicative Semigroups ℤ<sub>n</sub> and their Products
Puninagool, Wattapong,Sanwong, Jintana Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.1
The multiplicative semigroups $\mathbb{Z}_n$ have been widely studied. But, the ideals of $\mathbb{Z}_n$ seem to be unknown. In this paper, we provide a complete descriptions of ideals of the semigroups $\mathbb{Z}_n$ and their product semigroups ${\mathbb{Z}}_m{\times}{\mathbb{Z}}_n$. We also study the numbers of ideals in such semigroups.
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SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET
Preeyanuch Honyam,Jintana Sanwong 대한수학회 2011 대한수학회지 Vol.48 No.2
Let T(X) denote the semigroup (under composition) of trans-formations from X into itself. For a fixed nonempty subset Y of X, let S(X, Y) = <수식>Then S(X, Y) is a semigroup of total transformations of X which leave a subset Y of X invariant. In this paper, we characterize when S(X,Y)is isomorphic to T(Z) for some set Z and prove that every semigroup A can be embedded in S(A^1,A). Then we describe Green's relations for S(X,Y) and apply these results to obtain its group H-classes and ideals.
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INJECTIVE PARTIAL TRANSFORMATIONS WITH INFINITE DEFECTS
Boorapa Singha,Jintana Sanwong,Robert Patrick Sullivan 대한수학회 2012 대한수학회보 Vol.49 No.1
In 2003, Marques-Smith and Sullivan described the join ${\Omega}$ of the 'natural order' ≤ and the 'containment order' $\subseteq$ on P(X), the semigroup under composition of all partial transformations of a set X. And, in 2004, Pinto and Sullivan described all automorphisms of PS(q), the partial Baer-Levi semigroup consisting of all injective ${\alpha}{\in}P(X)$ such that ${\mid}X{\backslash}X{\alpha}\mid=q$, where $N_0{\leq}q{\leq}{\mid}X{\mid}$. In this paper, we describe the group of automorphisms of R(q), the largest regular subsemigroup of PS(q). In 2010, we studied some properties of ≤ and $\subseteq$ on PS(q). Here, we characterize the meet and join under those orders for elements of R(q) and PS(q). In addition, since ≤ does not equal ${\Omega}$ on I(X), the symmetric inverse semigroup on X, we formulate an algebraic version of ${\Omega}$ on arbitrary inverse semigroups and discuss some of its properties in an algebraic setting.
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