An Invitation to General Algebra and Universal Constructions

• Main Author: Bergman, George M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• Series: Universitext,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Algebra.; General Algebraic Systems.; Category Theory, Homological Algebra.; Associative Rings and Algebras.

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...