Set Theoretic Approach to Algebraic Structures in Mathematics
by W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Educational Publisher 2013
ISBN/ASIN: B00CABFS1S
Number of pages: 168
Description:
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. This sort of study is innovative and will find applications in data handling.
Download or read it online for free here:
Download link
(2.3MB, PDF)
Similar books
Noncommutative Ringsby 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.
(12809 views)
Hopf Algebras, Quantum Groups and Yang-Baxter Equationsby Florin Felix Nichita (ed.) - MDPI AG
Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.
(7684 views)
Infinite-dimensional Lie Algebrasby Iain Gordon - University of Edinburgh
Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.
(14049 views)
The Algebra of Invariantsby J.H. Grace, A. Young - Cambridge, University Press
Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. This book provides an English introduction to the symbolical method in the theory of Invariants.
(13470 views)