Baer-Levi semigroups of partial transformations
2004 ◽
Vol 69
(1)
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pp. 87-106
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Keyword(s):
Let X be an infinite set and suppose א0 ≤ q ≤ |X|. The Baer-Levi semigroup on X is the set of all injective ‘total’ transformations α: X → X such that |X\Xα| = q. It is known to be a right simple, right cancellative semigroup without idempotents, its automorphisms are “inner”, and some of its congruences are restrictions of Malcev congruences on I(X), the symmetric inverse semigroup on X. Here we consider algebraic properties of the semigroup consisting of all injective ‘partial’ transformations α of X such that |X\Xα| = q: in particular, we descried the ideals and Green's relations of it and some of its subsemigroups.
2009 ◽
Vol 79
(2)
◽
pp. 327-336
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1999 ◽
Vol 60
(2)
◽
pp. 303-318
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Keyword(s):
2017 ◽
Vol 16
(12)
◽
pp. 1750223
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2012 ◽
Vol 87
(3)
◽
pp. 462-479
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2010 ◽
Vol 82
(2)
◽
pp. 305-321
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Keyword(s):
2006 ◽
Vol 74
(3)
◽
pp. 393-409
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2010 ◽
Vol 20
(07)
◽
pp. 923-952
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2011 ◽
Vol 2011
◽
pp. 1-14