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A Primer of Subquasivariety Lattices

A Primer of Subquasivariety Lattices

by Kira AdarichevaJennifer Hyndman J. B. Nation and others
Paperback
Publication Date: 20/08/2023

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This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics of atomic theories and implicational theories in languages that may, or may not, contain equality. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator. As an application of this new approach, it is shown that completely distributive lattices with a dually compact least element are subquasivariety lattices. The book contains many examples to illustrate these principles, as well as open problems. Ultimately this new approach gives readers a set of tools to investigate classes of lattices that can be represented as subquasivariety lattices.


ISBN:
9783030980900
9783030980900
Category:
Algebra
Format:
Paperback
Publication Date:
20-08-2023
Language:
English
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Dimensions (mm):
235x155mm
Weight:
0.46kg

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