The lattice of inverse subsemigroups of a reduced inverse semigroup
1976 ◽
Vol 17
(2)
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pp. 161-172
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An inverse semigroup R is said to be reduced (or proper) if ℛ∩σ= i (where σ is the minimum group congruence on R). McAlister has shown ([3], [4]) that every reduced inverse semigroup is isomorphic with a “P-semigroup” P(G, , ), for some semilattice , poset containing as an ideal, and group G acting on by order-automorphisms; (and, conversely, every P-semigroup is reduced). In [4], he also found the morphisms between P-semigroups, in terms of morphisms between the respective groups, and between the respective posets.
1975 ◽
Vol 16
(1)
◽
pp. 40-51
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1974 ◽
Vol 15
(2)
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pp. 109-120
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1977 ◽
Vol 20
(4)
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pp. 339-354
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1966 ◽
Vol 7
(3)
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pp. 145-159
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1975 ◽
Vol 16
(1)
◽
pp. 12-21
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1991 ◽
Vol 43
(3)
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pp. 463-466
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Keyword(s):
2018 ◽
Vol 28
(05)
◽
pp. 837-875
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2019 ◽
Vol 12
(3)
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pp. 51-68