On the variety of strict pseudosemilattices
2013 ◽
Vol 50
(2)
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pp. 207-241
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Keyword(s):
A new model, in terms of finite bipartite graphs, of the free pseudosemilattice is presented. This will then be used to obtain several results about the variety SPS of all strict pseudosemilattices: (i) an identity basis for SPS is found, (ii) SPS is shown to be inherently non-finitely based, (iii) SPS is shown to have no irredundant identity basis, and (iv) SPS is shown to have no covers and to be ∩-prime in the lattice of all varieties of pseudosemilattices. Some applications to e-varieties of locally inverse semigroups are also derived.
Keyword(s):
1996 ◽
Vol 06
(05)
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pp. 541-551
2011 ◽
Vol 21
(07)
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pp. 1037-1052
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1996 ◽
Vol 06
(06)
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pp. 761-788
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1989 ◽
Vol 40
(1)
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pp. 59-77
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1993 ◽
Vol 43
(3)
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pp. 523-545
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1994 ◽
Vol 37
(1)
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pp. 13-20
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