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Subquasivariety Lattices in Languages with Equality

Subquasivariety Lattices in Languages with Equality

Paperback

Series: Springerbriefs in Mathematics

FictionAlgebra

PREORDER - Expected ship date January 31, 2027

ISBN10: 3032221781
ISBN13: 9783032221780
Publisher: Springer
Published: Jan 31 2027
Pages: 123
Language: English

This book addresses the notoriously difficult problem of characterizing lattices of subquasivarieties of a quasivariety.Not every lattice can be represented as a lattice of subquasivarieties. Of those that can be represented, some cannot be represented in languages with equality.

Exploration of the connection between lattices of algebraically closed subsets and subquasivariety lattices yields new avenues for determining if a lattice can be represented as a lattice of subquasivarieties.Both longstyle representations and the new strong shortstyle representations guarantee representations in a language with equality.The two complementary methods not only generate extensive new families of examples, but also reveal structural constraints previously unknown.

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Hyndman, Jennifer

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Algebra