Zobrazeno 1 - 10 of 12 pro vyhledávání: '"Kritsada Sangkhanan"'
1
A partial order on transformation semigroups with restricted range that preserve double direction equivalence
Autor: Kritsada Sangkhanan
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 X X . For an equivalence E E on X X , let T E ∗ ( X ) = { α ∈ T ( X ) : ∀ x , y ∈ X , ( x , y ) ∈ E ⇔ ( x α , y α ) ∈ E } . {T}_{{E}^{\ast }}\left(X)=\left\{\alpha \
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::393509929a81cbf6c25eca93d57235fd
https://doi.org/10.1515/math-2021-0109
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2
Regularity and Green’s relations on semigroups of transformations with restricted range that preserve an equivalence
Autor: Kritsada Sangkhanan, Jintana Sanwong
Publikováno v: Semigroup Forum. 100:568-584
Let Y be a subset of X and T(X, Y) the set of all functions from X into Y. Then, under the operation of composition, T(X, Y) is a subsemigroup of the full transformation semigroup T(X). Let E be an equivalence on X. Define a subsemigroup $$T_E(X,Y)$$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9b73b270dacd4ff49e815cfc16413942
https://doi.org/10.1007/s00233-020-10089-3
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3
Ranks and isomorphism theorems of semigroups of linear transformations with restricted range
Autor: Kritsada Sangkhanan, Jintana Sanwong
Publikováno v: Semigroup Forum. 98:456-471
Let P(V) be the partial linear transformation semigroup of a vector space V under composition. Given a fixed subspace W of V, define the following subsemigroups of P(V): $$\begin{aligned} PT(V,W)&=\{\alpha \in P(V)\ |\ V\alpha \subseteq W\},\\ T(V,W)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3bee466bf29b7da7497c448561d99c8d
https://doi.org/10.1007/s00233-018-9956-z
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4
THE REGULAR PART OF A SEMIGROUP OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE
Autor: Worachead Sommanee, Kritsada Sangkhanan
Publikováno v: Journal of the Australian Mathematical Society. 103:402-419
Let$V$be a vector space and let$T(V)$denote the semigroup (under composition) of all linear transformations from$V$into$V$. For a fixed subspace$W$of$V$, let$T(V,W)$be the semigroup consisting of all linear transformations from$V$into$W$. In 2008, Su
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c48922e684597b1ffea79d68190c55a
https://doi.org/10.1017/s144678871600080x
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5
On left quasi-ample semigroups with ΠL1-embeddable band of idempotents
Autor: Ekkachai Laysirikul, Kritsada Sangkhanan, Jintana Sanwong, Bernd Billhardt, Yanisa Chaiya
Publikováno v: Communications in Algebra. 45:5025-5035
Let ΠL1 denote a direct power of L1, the two-element left zero semigroup with identity adjoined. A semigroup S is called left quasi-ample if for each a∈S there exists a unique idempotent a+∈S such that xa=ya⇔xa+=ya+ for all x, y∈S1 and the l
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4521788fa2a7af993d40a82c7246ef5b
https://doi.org/10.1080/00927872.2017.1291811
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6
On Generalized Heisenberg Groups: The Symmetric Case
Autor: Kritsada Sangkhanan, Teerapong Suksumran
Publikováno v: Results in Mathematics. 73
In the literature, the famous Heisenberg group is the group of matrices of the form $$\begin{aligned} \begin{pmatrix} 1 &{}\quad x &{}\quad z\\ 0 &{}\quad 1 &{}\quad y\\ 0 &{}\quad 0 &{}\quad 1 \end{pmatrix}, \end{aligned}$$ where x, y, and z are rea
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::040f3ddbdbfeb2f74a1a5c548efee302
https://doi.org/10.1007/s00025-018-0855-0
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7
On $$\mathcal {R}$$ R -unipotent semigroups with $$\Pi L^1$$ Π L 1 -embeddable band of idempotents
Autor: Kritsada Sangkhanan, Ekkachai Laysirikul, Worachead Sommanee, Jintana Sanwong, Bernd Billhardt
Publikováno v: Semigroup Forum. 92:228-241
Let $$\Pi L^1$$ denote a direct power of $$L^1$$ , the two-element left zero semigroup with identity adjoined. We prove that the semigroups in the title are embeddable into transformation semigroups which naturally generalize the Vagner one-point com
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::40bf1172f8cf7c72a38ff07cc62006b1
https://doi.org/10.1007/s00233-015-9732-2
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8
On subsemigroups of direct powers of L 1
Autor: Kritsada Sangkhanan, Worachead Sommanee, Jintana Sanwong, Bernd Billhardt
Publikováno v: Acta Mathematica Hungarica. 145:26-45
Let L 1 be the two element left zero semigroup with identity adjoined. We show that the semigroups in the title are just the subbands of certain $${\mathcal{R}}$$ -unipotent transformation semigroups, introduced by Umar [10], which arise by augmentin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1cb71125f9a7387d898c3f8cdd3e68e0
https://doi.org/10.1007/s10474-014-0471-8
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10
PARTIAL ORDERS ON SEMIGROUPS OF PARTIAL TRANSFORMATIONS WITH RESTRICTED RANGE
Autor: Kritsada Sangkhanan, Jintana Sanwong
Publikováno v: Bulletin of the Australian Mathematical Society. 86:100-118
Let X be any set and P(X) the set of all partial transformations defined on X, that is, all functions α:A→B where A,B are subsets of X. Then P(X) is a semigroup under composition. Let Y be a subset of X. Recently, Fernandes and Sanwong defined PT(
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7bf229ee82de06292cfe9a16b3caf5a5
https://doi.org/10.1017/s0004972712000020
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