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Lattices of equational theories are congruence lattices of monoids with one additional unary operation

✍ Scribed by Norbert Newrly

Publisher
Springer
Year
1993
Tongue
English
Weight
160 KB
Volume
30
Category
Article
ISSN
0002-5240

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Representing congruence lattices of latt
Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I. Interval equivalence
✍ G. GrΓ€tzer; E.T. Schmidt πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 328 KB

Let L be a bounded lattice, let [a, b] and [c, d] be intervals of L, and let Ο• : [a, b] β†’ [c, d] be an isomorphism between these two intervals. Let us consider the algebra L ← β†’ Ο• = L; ∧, ∨, Ο•, Ο• -1 , which is a lattice with two partial unary operations. We construct a bounded lattice K (in fact, a