Magnifying elements of some semigroups of partial transformations
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2023-09-12 06:38
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512.534.3 (2)
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PUNKUMKERD, Chadaphorn, HONYAM, Preeyanuch. Magnifying elements of some semigroups of partial transformations. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 1(45), pp. 123-132. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 29, Numărul 1(45) / 2021 / ISSN 1561-2848

Magnifying elements of some semigroups of partial transformations

CZU: 512.534.3

Pag. 123-132

Punkumkerd Chadaphorn, Honyam Preeyanuch
 
Chiang Mai University, Chiang Mai
 
 
Disponibil în IBN: 27 iunie 2021


Rezumat

Let X be a nonempty set and let P(X) denote the semigroup (under the composition) of partial transformations from a subset of X to X and E(X) denote the subsemigroup of P(X) containing surjective partial transformations on X. For a fixed nonempty subset Y of X, let PT(X; Y ) = f 2 P(X) j (dom \ Y )  Y g and PT(X;Y ) = f 2 P(X) j (dom \ Y ) = Y g: We give necessary and sufficient conditions for elements in semigroups PT(X; Y ) and PT(X;Y ) to be left or right magnifying.