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Orthomodular Lattices

Algebraic Approach

  • Ladislav Beran

Part of the Mathematics and Its Applications (East European Series) book series (MAEE, volume 18)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Ladislav Beran
    Pages 1-27
  3. Ladislav Beran
    Pages 28-69
  4. Ladislav Beran
    Pages 70-117
  5. Ladislav Beran
    Pages 118-161
  6. Ladislav Beran
    Pages 162-198
  7. Ladislav Beran
    Pages 235-288
  8. Ladislav Beran
    Pages 289-341
  9. Back Matter
    Pages 375-394

About this book

Introduction

Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica­ tion schemes. They draw upon widely different sections of mathe­ matics.

Keywords

Boolean algebra Finite Identity algebra equation theorem

Authors and affiliations

  • Ladislav Beran
    • 1
  1. 1.Charles UniversityPragueCzech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5215-7
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8807-7
  • Online ISBN 978-94-009-5215-7
  • Series Print ISSN 0169-507X
  • Buy this book on publisher's site