Abstract
This chapter introduces the basic notions of abstract algebra as they are used in mathematics today. The notions are illustrated in detail with a study of modules, also called abelian groups, and defined as sets equipped with addition and subtraction (additive module) or commutative multiplication and division (commutative or abelian group). From an abstract point of view these two are the same, but it is useful to distinguish between them in practice.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Gårding, L., Tambour, T. (1988). Abstract algebra and modules. In: Algebra for Computer Science. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8797-8_3
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8797-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96780-6
Online ISBN: 978-1-4613-8797-8
eBook Packages: Springer Book Archive