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| Softcover ISBN: | 978-0-8218-3121-2 |
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| 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 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Volume: 141; 1989; 203 ppMSC: 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.
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Table of Contents
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Articles
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Kh. Drashkovicheva, Tibor Katrinyak and M. Kolibiar — Boolean algebras and similar lattices
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T. S. Fofanova — General theory of lattices
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V. I. Igoshin — Varieties and other classes of lattices. Categorical questions
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A. V. Mikhalëv, V. N. Saliĭ and L. A. Skornyakov — Concrete lattices
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V. N. Saliĭ — Partially ordered sets. Semilattices. Generalizations of lattices
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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.
-
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
