Download E-books Commutative Rings: Dimension, Multiplicity and Homological Methods PDF

By Stanislaw Balcerzyk, Tadeusz Jozefiak, Maciej Juniewicz, Sergiusz Kowalski

The current quantity is the sequel to "Commutative Noetherian and Krull earrings" via a similar authors. the 2 books, taken care of as an entire, shape a self-contained presentation of the basics of the idea of commutative jewelry. the fundamental notion of this booklet is to teach the energy of homological equipment in a few selected parts of commutative ring concept. Ring-theoretic notions are far and wide outlined in simply ring-theoretic phrases and their homological descriptions or characterizations are constructed to be able to enable complete software of homological algebra. Cohen-Macaulay and Gorenstein jewelry are given the 1st systematic presentation of such scope in ebook shape. all of the effects (most of them with proofs) from homological algebra that are wanted often textual content are gathered within the Appendix. on the finish of every bankruptcy there's a brief part containing a few ancient comments on themes on the topic of the bankruptcy. The ebook is meant as s textual content for graduate scholars and complicated undergraduates.

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