RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 2, Pages 199–208 (Mi timm562)
This article is cited 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.

UDC: 512.542

Received: 22.12.2009



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024