Abstract algebra | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-03-06

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Abstract_algebra


00:01:06 1 History
00:03:09 1.1 Early group theory
00:09:14 1.2 Modern algebra
00:11:53 2 Basic concepts
00:13:47 3 Applications
00:15:21 4 See also



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SUMMARY
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In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra.
Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified  way for expressing properties and constructions that are similar for various structures.
Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called variety of groups.