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Ordered Sets and Lattices
 
Ordered Sets and Lattices
Softcover ISBN:  978-0-8218-3121-2
Product Code:  TRANS2/141
List Price: $169.00
MAA Member Price: $152.10
AMS Member Price: $135.20
eBook ISBN:  978-1-4704-3352-9
Product Code:  TRANS2/141.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Softcover ISBN:  978-0-8218-3121-2
eBook: ISBN:  978-1-4704-3352-9
Product Code:  TRANS2/141.B
List Price: $334.00 $251.50
MAA Member Price: $300.60 $226.35
AMS Member Price: $267.20 $201.20
Ordered Sets and Lattices
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Ordered Sets and Lattices
Softcover ISBN:  978-0-8218-3121-2
Product Code:  TRANS2/141
List Price: $169.00
MAA Member Price: $152.10
AMS Member Price: $135.20
eBook ISBN:  978-1-4704-3352-9
Product Code:  TRANS2/141.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Softcover ISBN:  978-0-8218-3121-2
eBook ISBN:  978-1-4704-3352-9
Product Code:  TRANS2/141.B
List Price: $334.00 $251.50
MAA Member Price: $300.60 $226.35
AMS Member Price: $267.20 $201.20
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Volume: 1411989; 203 pp
    MSC: Primary 03; Secondary 06; 18;

    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
     
     
    • Articles
    • Kh. Drashkovicheva, Tibor Katrinyak 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1411989; 203 pp
MSC: Primary 03; Secondary 06; 18;

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.

  • Articles
  • Kh. Drashkovicheva, Tibor Katrinyak 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.