Format:
1 Online-Ressource(IX, 290 p. 136 illus., 64 illus. in color.)
Edition:
1st ed. 2022.
ISBN:
9783030980887
Series Statement:
CMS/CAIMS Books in Mathematics 3
Content:
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.
Additional Edition:
ISBN 9783030980870
Additional Edition:
ISBN 9783030980894
Additional Edition:
ISBN 9783030980900
Additional Edition:
Erscheint auch als Druck-Ausgabe Adaricheva, Kira A primer of subquasivariety lattices Cham, Switzerland : Springer Nature, 2022 ISBN 9783030980870
Language:
English
DOI:
10.1007/978-3-030-98088-7
