by W. B. Vasantha Kandasamy
Publisher: American Research Press 2002
Number of pages: 95
This book is a piece of work on Smarandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties just for quick reference. Since most of the properties and theorems given regarding the Smarandache semigroups are new and cannot be found in existing literature the author has taken utmost efforts to see that the concepts are completely understood by illustrating with examples and a great number of problems.
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by E. Lee Lady - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
by W. B. Vasantha Kandasamy - American Research Press
This book by Dr. W. B. Vasantha aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid.
by David Meredith - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
by Leila Schneps - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.