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A course in BE-algebras

Mukkamala, Sambasiva Rao.

A course in BE-algebras

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A course in BE-algebrasby Sambasiva Rao Mukkamala.
作者:	Mukkamala, Sambasiva Rao.
出版者:	Singapore :Springer Singapore :2018.
面頁冊數:	xv, 448 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Algebra, Abstract.
電子資源:	http://dx.doi.org/10.1007/978-981-10-6838-6
ISBN:	9789811068386$q(electronic bk.)

A course in BE-algebras
Mukkamala, Sambasiva Rao.

A course in BE-algebras[electronic resource] /by Sambasiva Rao Mukkamala. - Singapore :Springer Singapore :2018. - xv, 448 p. :ill., digital ;24 cm.

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$q(electronic bk.)

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

185961
Algebra, Abstract.

LC Class. No.: QA162

Dewey Class. No.: 512.02

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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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