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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 199–208
(Mi timm562)
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This article is cited in 1 scientific paper (total in 1 paper)
On the representation of lattices by congruence lattices of semigroups
A. L. Popovich, V. B. Repnitskii Ural State University
Abstract:
It is proved that every distributive algebraic lattice such that its compact elements form a lattice with unit can be represented as a congruence lattice for an appropriate semigroup.
Keywords:
algebraic lattice, distributive lattice, congruence lattice, semigroup.
Received: 22.12.2009
Citation:
A. L. Popovich, V. B. Repnitskii, “On the representation of lattices by congruence lattices of semigroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 199–208
Linking options:
https://www.mathnet.ru/eng/timm562 https://www.mathnet.ru/eng/timm/v16/i2/p199
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Abstract page: | 361 | Full-text PDF : | 142 | References: | 80 | First page: | 8 |
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