BCI-algebra

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Elsevier, 2006 - Mathematics - 356 pages
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Distributed by Elsevier Science on behalf of Science Press.

This book is mainly designed for graduate students who are interested in the theory of BCK and BCI-algebras. It introduces the general theoretical basis of BCI-algebras, omitting difficult proofs and abstract topics which are less necessary for beginners to learn. With abundant examples and exercises arranged after each section, it provides readers with easy-to-follow steps into this field.



  • Specially designed for graduate students with emphasis on elementary knowledge in this field
  • Organizes knowledge points systematically and highlights various arguments on vital topics to make them easy to be understand
  • Gives many examples to clarify important notations and terminologies and abundant of classified exercises after each chapter for revision purposes
 

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Contents

Introduction
1
General Theory
11
Commutative BCKAlgebras
93
Positive Implicative and Implicative
153
BCIAlgebras with Condition S
209
Normal BCIAlgebras
259
Radicals and Ideals
291
Appendix A
313
Appendix B
336
Bibliography
343
Index
353
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