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 S. Montgomery, H. Schneider - Cambridge University Press
Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.
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.
by Douglas Lundholm, Lars Svensson - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.