REGULARITY AND GREEN'S RELATIONS OF GENERALIZED PARTIAL TRANSFORMATION SEMIGROUPS
2008 ◽
Vol 01
(03)
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pp. 295-302
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Keyword(s):
Let X be any set and P(X) be the partial transformation semigroup on X. It is well-known that P(X) is regular. To generalize this, let X and Y be any sets and P(X, Y) be the set of all partial transformations from X to Y. For θ ∈ P(Y, X), let (P(X, Y), θ) be a semigroup (P(X, Y), *) where α * β = αθβ for all α, β ∈ P(X, Y). In this paper, we characterize the semigroup (P(X, Y), θ) to be regular, regular elements of the semigroup (P(X, Y), θ), [Formula: see text]-classes, [Formula: see text]-classes, [Formula: see text]-classes and [Formula: see text]-classes of the semigroup (P(X, Y), θ).
2013 ◽
Vol 06
(01)
◽
pp. 1350006
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1988 ◽
Vol 31
(2)
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pp. 301-319
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Keyword(s):
1978 ◽
Vol 25
(1)
◽
pp. 45-65
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2009 ◽
Vol 9
(3)
◽
pp. 33-37
1990 ◽
Vol 10
(5)
◽
pp. 481-498
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Keyword(s):
1999 ◽
Vol 60
(2)
◽
pp. 303-318
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Keyword(s):
2008 ◽
Vol 2008
◽
pp. 1-11
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2017 ◽
Vol 16
(12)
◽
pp. 1750223
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