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BCC-Algebras book cover

1st Edition

BCC-Algebras

By Janus Thomys Copyright 2023
362 Pages
by Chapman & Hall

362 Pages
by Chapman & Hall
Also available as eBook on:
The subjects described in this book are BCC-algebras and an even wider class of weak BCC-algebras. The aim of the book is to summarize the achievements to date in the subject and to present them in the form of a logically created theory. Through appropriate grading and a precise description of the steps of the proofs, this theory is easily assimilated, and it should not take too long for the... Read more

Preface

1 BCC-Algebras - Introduction

1.1 Basic Definitions and Facts

1.2 Constructions of BCC-Algebras

1.3 Estimating the Number of Subalgebras

2 Special Objects in Weak BCC-Algebras

2.1 Atoms

2.2 Branches

2.3 BCC-

2.4 Congruences

2.5 Group-Like Weak BCC-Algebras

2.6 Solid Weak BCC-Algebras

2.7 Nilpotent Weak BCC-Algebras

3 Subclasses of BCC-Algebras

3.1 Commutative Solid Weak BCC-Algebras

3.2 Quasi-Commutative Solid Weak BCC-Algebras

3.3 Implicative Solid Weak BCC-Algebras

3.4 Weak BCC-Algebras with Condition (S)

3.5 Initial Segments

3.6 Fuzzy BCC-Subalgebras

3.7 Derivations of Weak BCC-Algebras

3.8 Para-Associative Weak BCC-Algebras

3.9 Hyper (Weak) BCC-Algebras

3.10 Group-Like Hyper Weak BCC-Algebras

3.11 Soft BCC-Algebras

4 Ideal Theory of Weak BCC-Algebras

4.1 Closed Ideals

4.2 T-Ideals of T-Type Weak BCC-Algebras

4.3 Anti-Grouped Ideals

4.4 Associative Ideals

4.5 p-Ideals

4.6 k-Nil Radicals of Solid Weak BCC-Algebras

4.7 Fuzzy BCC-Ideals

4.8 Cubic Bipolar BCC-Ideals

4.9 Soft BCC-Ideals

Appendix

Bibliography

Index

Biography

Janus Thomys received his Master of Sciences in Mathematics and his Dr. Mathematical Sciences degree at University Jan Dlugosz, Czestohowa, Poland.

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