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A course in BE-algebras / Sambasiva Rao Mukkamala.

Mukkamala, Sambasiva Rao, author.
2018
QA162
Available Online
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Title
A course in BE-algebras / Sambasiva Rao Mukkamala.
Author
Mukkamala, Sambasiva Rao, author.
ISBN
9789811068386 (electronic book)
9811068380 (electronic book)
9789811068379
9811068372
DOI
https://doi.org/10.1007/978-981-10-6838-6
Published
Singapore : Springer, 2018.
Language
English
Description
1 online resource (xv, 448 pages) : illustrations
Item Number
10.1007/978-981-10-6838-6 doi
Call Number
QA162
Dewey Decimal Classification
512/.02
Summary
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.
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Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 19, 2018).
Available in Other Form
Print version: 9789811068379
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Chapter 1. Introduction
Chapter 2. Preliminaries
Chapter 3. Some concepts of BE-algebras
Chapter 4. Filters of BE-algebras
Chapter 5. Quasi-filters of BE-algebras
Chapter 6. Prime filters of BE-algebras
Chapter 7. Pseudo-complements
Chapter 8. Stabilizers
Chapter 9. States on BE-algebras
Chapter 10. State BE-algebras
Chapter 11. Self-maps of BE-algebras
Chapter 12. Endomorphisms
Chapter 13. Fuzzification of filters
Chapter 14. Implicative filters
Chapter 15. Positive implicative filters
Chapter 16. Transitive filters.

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