**Workbook in Higher Algebra**

by David Surowski

1992**Number of pages**: 194

**Description**:

This set of notes was developed as a result of Higher Algebra courses the author taught at Kansas State University. The text covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zornâ€™s Lemma and some Applications.

Download or read it online for free here:

**Download link**

(0.8MB, PDF)

## Similar books

**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).

(

**10777**views)

**Set Theoretic Approach to Algebraic Structures in Mathematics**

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.

(

**11845**views)

**An introduction to Algebra and Topology**

by

**Pierre Schapira**-

**University of Luxemburg**

These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).

(

**11433**views)

**Clifford Algebra, Geometric Algebra, and Applications**

by

**Douglas Lundholm, Lars Svensson**-

**arXiv**

These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.

(

**15330**views)