E-unitary inverse semigroups over semilattices
1978 ◽
Vol 19
(1)
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pp. 1-12
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An inverse semigroup is called E-unitary if the equations ea = e = e2 together imply a2 = a. In a previous paper [4], the author showed that any E-unitary inverse semigroup is isomorphic to a semigroup constructed from a triple (G, ℋ, ) consisting of a down-directed partially ordered set ℋ, an ideal and subsemilattice of ℋ and a group G acting on ℋ, on the left, by order automorphisms in such a way that ℋ = G. This semigroup is denoted by P(G, ℋ, ); it consists of all pairs (a, g)∈ × G such that g−1a ∈ , under the multiplication
1976 ◽
Vol 17
(1)
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pp. 57-75
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1968 ◽
Vol 20
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pp. 264-271
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1970 ◽
Vol 13
(1)
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pp. 115-118
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1957 ◽
Vol 9
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pp. 578-582
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1969 ◽
Vol 9
(3-4)
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pp. 361-362
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1984 ◽
Vol 25
(1)
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pp. 31-33
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