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Ordered Sets and Lattices
Kh. Drashkovicheva, T. S. Fofanova, V. I. Igoshin, T. Katrinyak, M. Kolibiar, A. V. Mikhalëv, V. N. Saliĭ, and L. A. Skornyakov
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American Mathematical Society Translations--Series 2
1989; 203 pp; softcover
Volume: 141
Reprint/Revision History:
reprinted 1991
ISBN-10: 0-8218-3121-6
ISBN-13: 978-0-8218-3121-2
List Price: US$100
Member Price: US$80
Order Code: TRANS2/141
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This book is another publication in the recent surveys of ordered sets and lattices. The papers, which might be characterized as "reviews of reviews," are based on articles reviewed in the Referativnyĭ Zhurnal: Matematika from 1978 to 1982. For the sake of completeness, the authors also attempted to integrate information from other relevant articles from that period. The bibliography of each paper provides references to the reviews in RZhMat and Mathematical Reviews where one can seek more detailed information. Specifically excluded from consideration in this volume were such topics as algebras of logic, Boolean functions, vector lattices, ordered algebraic systems (including ordered topological spaces), and semigroup properties of semilattices, as well as papers in which such topics as nonlattice-theoretical properties of congruence lattices and subalgebra lattices were considered.

Table of Contents

  • H. Draškovičevá, T. Katriňák, and M. Kolibiar -- Boolean algebras and similar lattices
  • T. S. Fofanova -- General theory of lattices
  • V. I. Igoshin -- Varieties and other classes of lattices. Categorical questions
  • A. V. Mikhalëv, V. n. Saliĭ, and L. A. Skornyakov -- Concrete lattices
  • V. N. Saliĭ -- Partially ordered sets. Semilattices. Generalizations of lattices
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