Set Theoretic Approach to Algebraic Structures in Mathematics
by W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Educational Publisher 2013
Number of pages: 168
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.
Home page url
Download or read it online for free here:
by Robert B. Ash
Text for a graduate course in abstract algebra, it covers fundamental algebraic structures (groups, rings, fields, modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference.
by 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.
by Leonard E. Dickson - J. Wiley & Sons
This introduction to the classical theory of invariants of algebraic forms is divided into three parts: linear transformations; algebraic properties of invariants and covariants; symbolic notation of Aronhold and Clebsch.
by D. Rogalski - arXiv
These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.