Vol. 103, No. 2, 1982

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Congruence lattices of algebras of fixed similarity type. II

William A. Lampe

Vol. 103 (1982), No. 2, 475–508
Abstract

A celebrated theorem of G. Grätzer and E. T. Schmidt shows that every algebraic lattice can be represented as the congruence lattice of some universal algebra. That result naturally provokes questions concerning possible refinements. This paper provides sufficient conditions for an algebraic lattice to be representable as the congruence lattice of a groupoid.

Mathematical Subject Classification 2000
Primary: 08A30
Secondary: 06B15
Milestones
Received: 14 January 1981
Published: 1 December 1982
Authors
William A. Lampe