Freese, Ralph and Nation, J. B. (1973) Congruence lattices of semilattices. Pacific Journal of Mathematics, 49 (1). pp. 51-58. ISSN 0030-8730. https://resolver.caltech.edu/CaltechAUTHORS:FREpjm73
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Abstract
The main result of this paper is that the class of congruence lattices of semilattices satisfies no nontrivial lattice identities. It is also shown that the class of subalgebra lattices of semilattices satisfies no nontrivial lattice identities. As a consequence it is shown that if V is a semigroup variety all of whose congruence lattices satisfy some fixed nontrivial lattice identity, then all the members of V are groups with exponent dividing a fixed finite number.
| Item Type: | Article | ||||||
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| Additional Information: | © 1973 Pacific Journal of Mathematics. Received July 10, 1972. | ||||||
| Issue or Number: | 1 | ||||||
| Record Number: | CaltechAUTHORS:FREpjm73 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:FREpjm73 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 843 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 19 Oct 2005 | ||||||
| Last Modified: | 02 Oct 2019 22:37 |
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