By R.S. Pierce

ISBN-10: 0387906932

ISBN-13: 9780387906935

For lots of humans there's lifestyles after forty; for a few mathematicians there's algebra after Galois idea. the target ofthis ebook is to turn out the latter thesis. it's written basically for college kids who've assimilated mammoth parts of a typical first 12 months graduate algebra textbook, and who've loved the event. the fabric that's provided right here shouldn't be deadly whether it is swallowed via folks who're now not contributors of that team. The gadgets of our cognizance during this booklet are associative algebras, commonly those which are finite dimensional over a box. This topic is perfect for a textbook that would lead graduate scholars right into a really expert box of analysis. the main theorems on associative algebras inc1ude probably the most greatest result of the nice heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and so on. the method of refine ment and c1arification has introduced the evidence of the gemstones during this topic to a degree that may be liked via scholars with in basic terms modest heritage. the topic is nearly certain within the wide selection of contacts that it makes with different elements of arithmetic. The research of associative algebras con tributes to and attracts from such themes as staff concept, commutative ring thought, box concept, algebraic quantity conception, algebraic geometry, homo logical algebra, and classification idea. It even has a few ties with elements of utilized arithmetic.