ПРЕДСТАВЛЕНИЕ РЕШЕТОК РЕШЕТКАМИ КОНГРУЭНЦИЙ ПОЛУГРУПП БЕЗ ИДЕМПОТЕНТОВ

Translated title of the contribution: Representation of lattices by congruence lattices of semigroups without idempotents

Research output: Contribution to journalArticlepeer-review

Abstract

It is proved that every distributive algebraic lattice such that its compact elements form a lattice with unit can be represented as the congruence lattice of some semigroup without idempotents. This implies that every distributive algebraic lattice with at most countably many compact elements is also representable as the congruence lattice of a semigroup without idempotents.
Translated title of the contributionRepresentation of lattices by congruence lattices of semigroups without idempotents
Original languageRussian
Pages (from-to)208-217
Number of pages10
JournalТруды института математики и механики УрО РАН
Volume18
Issue number3
Publication statusPublished - 2012

GRNTI

  • 27.17.00

Level of Research Output

  • VAK List

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