A Course in BE-algebras

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 imp...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Mukkamala, Sambasiva Rao (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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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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