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A Course in BE-algebras

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A Course in BE-algebras/ by Sambasiva Rao Mukkamala.
Author:	Mukkamala, Sambasiva Rao.
Description:	XV, 448 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-981-10-6838-6
ISBN:	9789811068386

A Course in BE-algebras
Mukkamala, Sambasiva Rao.

A Course in BE-algebras[electronic resource] /by Sambasiva Rao Mukkamala. - 1st ed. 2018. - XV, 448 p. 3 illus.online resource.

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.

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.

ISBN: 9789811068386

Standard No.: 10.1007/978-981-10-6838-6doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA150-272

Dewey Class. No.: 512

A Course in BE-algebras
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505 0 $a 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.
520 $a 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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