A Course in BE-algebras

  • Sambasiva Rao Mukkamala
Book

Table of contents

  1. Front Matter
    Pages i-xv
  2. Sambasiva Rao Mukkamala
    Pages 1-4
  3. Sambasiva Rao Mukkamala
    Pages 5-29
  4. Sambasiva Rao Mukkamala
    Pages 31-79
  5. Sambasiva Rao Mukkamala
    Pages 81-129
  6. Sambasiva Rao Mukkamala
    Pages 131-151
  7. Sambasiva Rao Mukkamala
    Pages 153-176
  8. Sambasiva Rao Mukkamala
    Pages 177-231
  9. Sambasiva Rao Mukkamala
    Pages 233-259
  10. Sambasiva Rao Mukkamala
    Pages 261-282
  11. Sambasiva Rao Mukkamala
    Pages 283-318
  12. Sambasiva Rao Mukkamala
    Pages 319-336
  13. Sambasiva Rao Mukkamala
    Pages 337-356
  14. Sambasiva Rao Mukkamala
    Pages 357-382
  15. Sambasiva Rao Mukkamala
    Pages 383-411
  16. Sambasiva Rao Mukkamala
    Pages 413-434
  17. Back Matter
    Pages 435-448

About this book

Introduction

This book presents a unified course in BE-algebras with a comprehensive introduction, general theoretical basis and several examples. It introduces the general theoretical basis of BE-algebras, adopting a credible style to offer students a conceptual understanding of the subject. BE-algebras are important tools for certain investigations in algebraic logic, because they can be considered as fragments of any propositional logic containing a logical connective implication and the constant "1", which is considered as the logical value “true”. 
Primarily aimed at graduate and postgraduate students of mathematics, it also helps researchers and mathematicians to build a strong foundation in applied abstract algebra. Presenting insights into some of the abstract thinking that constitutes modern abstract algebra, it provides a transition from elementary topics to advanced topics in BE-algebras. With abundant examples and exercises arranged after each section, it offers readers a comprehensive, easy-to-follow introduction to this field.

Keywords

Fuzzy subalgebras Homomorphisms Associative filters Quasi-filters Prime filters Pseudo-complements Stabilizers Endomorphisms Implicative fiters Transitive filters

Authors and affiliations

  • Sambasiva Rao Mukkamala
    • 1
  1. 1.Department of MathematicsMVGR College of EngineeringVizianagaramIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-6838-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-6837-9
  • Online ISBN 978-981-10-6838-6
  • About this book