#
Algebra : A Teaching and Source Book
Resource Information
The work ** Algebra : A Teaching and Source Book** represents a distinct intellectual or artistic creation found in **Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Algebra : A Teaching and Source Book
Resource Information

The work

**Algebra : A Teaching and Source Book**represents a distinct intellectual or artistic creation found in**Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Algebra : A Teaching and Source Book

- Title remainder
- A Teaching and Source Book

- Statement of responsibility
- by Ernest Shult, David Surowski

- Language
- eng

- Summary
- This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student

- Image bit depth
- 0

- LC call number
- QA251.5

- Literary form
- non fiction

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