Lattices of pseudovarieties
1989 ◽
Vol 46
(2)
◽
pp. 177-183
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Keyword(s):
AbstractWe consider the lattice of pseudovarieties contained in a given pseudovariety P. It is shown that if the lattice L of subpseudovarieties of P has finite height, then L is isomorphic to the lattice of subvarieties of a locally finite variety. Thus not every finite lattice is isomorphic to a lattice of subpseudovarieties. Moreover, the lattice of subpseudovarieties of P satisfies every positive universal sentence holding in all lattice of subvarieties of varieties V(A) ganarated by algebras A ε P.
1972 ◽
Vol 6
(3)
◽
pp. 357-378
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1997 ◽
Vol 07
(04)
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pp. 511-540
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2005 ◽
Vol 57
(3)
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pp. 297-307
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Keyword(s):
1978 ◽
Vol 26
(3)
◽
pp. 368-382
◽
1972 ◽
Vol 14
(3)
◽
pp. 364-367
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Keyword(s):
Keyword(s):
1999 ◽
Vol 51
(4)
◽
pp. 792-815
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Keyword(s):