Smarandache Semirings, Semifields and Semivector Spaces
by W. B. Vasantha Kandasamy
Publisher: American Research Press 2002
Number of pages: 122
This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure -- for all rings and fields are semirings.
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by Claude Chevalley - The Mathematical Society Of Japan
This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.
by H. Andreka, I. Nemeti, I. Sain
Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.
by S. Burris, H.P. Sankappanavar - Springer-Verlag
Selected topics in universal algebra: an introduction to lattices, the most general notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to the basic concepts and results of model theory.
by W. B. Vasantha Kandasamy - American Research Press
The purpose of this book entirely lies in the study, introduction and examination of the Smarandache loops. We expect the reader to have a good background in algebra and more specifically a strong foundation in loops and number theory.