Matsumura, Hideyuki,  1930- <br/><br/>
Commutative ring theory / 
Hideyuki Matsumura ; translated by M. Reid. 
 - Cambridge :  Cambridge University Press,  1986. 
 - 1 online resource (xiii, 320 pages) :  digital, PDF file(s). 
 - Cambridge studies in advanced mathematics ;  8 .
 - Cambridge studies in advanced mathematics ;  8. .
<br/><br/> Title from publisher's bibliographic system (viewed on 05 Oct 2015). 
<br/><br/> In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry.  Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book. 
<br/><br/><label>ISBN: </label>9781139171762 (ebook) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Commutative rings.
<br/><br/><label>LC Class. No.: </label>QA251.3  / .M37213 1986 
<br/><br/><label>Dewey Class. No.: </label>512/.4