On the semigroups of partial one-to-one order-decreasing finite transformations
1993 ◽
Vol 123
(2)
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pp. 355-363
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SynopsisLet In be the symmetric inverse semigroup on Xn = {1,…, n}, let Sln be the subsemigroup of strictly partial one-to-one self-maps of Xn and let = { α ∊ SIn: x} ≦ x = U = ∅= be the semigroup of all partial one-to-one decreasing maps including the empty or zero map of Xn. In this paper it is shown that is an (irregular, for n ≧ 2) type A semigroup with n D*-classes and D* = I*. Further, it is shown that is generated by the n(n + l)/2 quasi-idempotents in
1987 ◽
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pp. 21-40
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2008 ◽
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pp. 75-80
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pp. 33-47
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Vol 49
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pp. 660-662
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pp. 1750223
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pp. 1055-1069
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pp. 179-187
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Vol 81
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pp. 195-207
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