# An Invitation to General Algebra and Universal Constructions

- 13 Citations
- 2 Mentions
- 20k Downloads

Part of the Universitext book series (UTX)

Advertisement

Textbook

- 13 Citations
- 2 Mentions
- 20k Downloads

Part of the Universitext book series (UTX)

Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.

Galois connections categories; functors coalgebra objects free groups lattices ordered sets universal constructions varieties of algebras

- DOI https://doi.org/10.1007/978-3-319-11478-1
- Copyright Information Springer International Publishing Switzerland 2015
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-319-11477-4
- Online ISBN 978-3-319-11478-1
- Series Print ISSN 0172-5939
- Series Online ISSN 2191-6675
- Buy this book on publisher's site