Publisher:

Chapman & Hall/CRC

Number of Pages:

468

Price:

99.95

ISBN:

9781439873106

Date Received:

Friday, July 26, 2013

Reviewable:

No

Publication Date:

2013

Format:

Hardcover

Audience:

Category:

Monograph

**Preliminaries**

Set Theory

Group Theory

Ring Theory

Vector Spaces

Module Theory

Graphs

Introduction to Fuzzy Sets

Some Fuzzy Algebraic Systems

**Fundamentals of ****Near Rings**

Definitions and Examples

Substructures of Near Rings and Quotient Near Rings

Homomorphism and Isomorphism

Introduction to Matrix Near Rings

**More Concepts on Near Rings**

*N*-Groups

Homomorphisms in *N*-Groups

Chain Conditions on Ideals

Direct Systems in *N*-Groups

Some Results on *M _{n}*(

**Prime and Semiprime Ideals **

Fundamental Definitions and Results

Prime Radicals in Near Rings

Insertion of Factors Property Ideals in Near Rings and *N*-Groups

Finite Spanning Dimension in *N*-Groups

**Dimension and Decomposition Theory**

Finite Goldie Dimension

Linearly Independent Elements in *N*-Groups

Primary Decomposition in Near Rings

Tertiary Decomposition in *N*-Groups

**Matrix Near Rings**

Preliminary Results

Prime Ideals in Matrix Near Rings

Finite Goldie Dimension in *M _{n}*(

**Gamma Near Rings**

Definitions and Examples

Ideals of Gamma Near Rings

Prime Ideals and Nilpotent Ideals in Gamma Near Rings

Modules over Gamma Near Rings

**Fuzzy Aspects in Near Rings and Gamma Near Rings**

Fuzzy Ideals and Prime Ideals in Gamma Near Rings

Fuzzy Cosets of Gamma Near Rings

Fuzzy Ideals of MΓ-Groups

Homomorphisms and Fuzzy Cosets of *M*Γ-Groups

Fuzzy Dimension in *N*-Groups

**Fundamental Concepts of Graph Theory**

Introduction

Directed Hypercubes

Vector Spaces of a Graph

Prime Graph of a Ring

Homomorphism of Graphs

Graph of a Near Ring with Respect to an Ideal

**References**

**Index**

Publish Book:

Modify Date:

Friday, July 26, 2013

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