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Author: Janus Thomys
Publisher: CRC Press
ISBN: 1000804283
Category : Mathematics
Languages : en
Pages : 332
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Book Description
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 reader to learn about it. We begin with the motivation for their creation, many examples, and basic results used later in the book. Then we deal with the constructions of BCC-algebras and calculate the numbers of their subalgebras. The author describes the so-called solid weak BCC-algebras. They have some properties of BCI-algebras, but this requires completely new, often difficult, proofs. The important subclasses of weak BCC-algebras and the relationships between them are presented with many examples. BCC-Algebras is intended for researchers dealing with abstract algebra and for logicians working on the border between logic and algebra. The book is also of interest to students interested in the theory of (weak) BCC-algebras or simply in abstract algebra. The structure of the book makes it possible to discover topics that require further research, which, depending on the degree of difficulty, may be completed with a thesis or dissertation.
Author: Janus Thomys
Publisher: CRC Press
ISBN: 1000804283
Category : Mathematics
Languages : en
Pages : 332
Get Book Here
Book Description
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 reader to learn about it. We begin with the motivation for their creation, many examples, and basic results used later in the book. Then we deal with the constructions of BCC-algebras and calculate the numbers of their subalgebras. The author describes the so-called solid weak BCC-algebras. They have some properties of BCI-algebras, but this requires completely new, often difficult, proofs. The important subclasses of weak BCC-algebras and the relationships between them are presented with many examples. BCC-Algebras is intended for researchers dealing with abstract algebra and for logicians working on the border between logic and algebra. The book is also of interest to students interested in the theory of (weak) BCC-algebras or simply in abstract algebra. The structure of the book makes it possible to discover topics that require further research, which, depending on the degree of difficulty, may be completed with a thesis or dissertation.
Author: Sun Shin Ahn
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
The notions of a neutrosophic subalgebra and a neutrosohic ideal of a BCC-algebra are introduced and consider characterizations of a neutrosophic subalgebra and a neutrosophic ideal. We de ne the notion of a neutrosophic BCC-ideal of a BCC-algebra, and investigated some properties of it.
Author: Sambasiva Rao Mukkamala
Publisher: Springer
ISBN: 9811068380
Category : Mathematics
Languages : en
Pages : 452
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Book Description
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.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730022
Category : Science
Languages : en
Pages : 203
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Book Description
Collection of papers from various scientists dealing with smarandache notions in science.
Author: A. Iampan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19
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Book Description
We introduce the concept of UP-hyperalgebras which is a generalization of UP-algebras, and investigate some related properties.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730995
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Papers on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 692
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Book Description
Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 792
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Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 486
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ISBN:
Category : Fuzzy arithmetic
Languages : en
Pages : 524
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Book Description
