January 2014
Intermediate to advanced
576 pages
12h 56m
English
Content preview from Discrete Mathematical StructuresBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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7
Algebraic Structures
LEARNING OBJECTIVES
After reading this chapter, you will be conversant with:
- Introduction
- Binary Operation
- Algebraic Structures
- Congruences
- Permutations
- Integral Powers of an Element
- Cyclic Group
- Subgroups
- Coset Decomposition
- Isomorphism and Homomorphism of Groups
- Algebraic Systems With Two Binary Operations
- Ring, Subring and Ideals
- Integral Domain
- Field
7.1 INTRODUCTION
Algebraic structures play an important role in computer science due to their applications in computing techniques dealing with problems in operations research, graph theory, and relational databases. They also have found applications in the study of crystals in physics and in biological science in the analysis of human genes. The important structures ...
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