by W. B. Vasantha Kandasamy
Publisher: American Research Press 2002
Number of pages: 129
The purpose of this book entirely lies in the study, introduction and examination of the Smarandache loops based on a paper about Special Algebraic Structures by Florentin Smarandache. We expect the reader to have a good background in algebra and more specifically a strong foundation in loops and number theory.
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by Michael Artin
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of 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 David Surowski
A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zorn’s Lemma and some Applications.
by W. B. Vasantha Kandasamy, Florentin Smarandache - Educational Publisher
This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.