**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

**Algebraic 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.

(

**6040**views)

**Smarandache Semirings, Semifields and Semivector Spaces**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

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.

(

**8716**views)

**Smarandache Loops**

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.

(

**6409**views)

**Lectures On Unique Factorization Domains**

by

**P. Samuel**-

**Tata Institute Of Fundamental Research**

In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).

(

**6132**views)