Gregor, Kemper. <br/><br/>
A course in commutative algebra/ 
Gregor Kemper. 
 - New York:  Springer,  2011. 
 - xi, 246 p. ;  25 cm. 
 - Graduate texts in mathematics, 256. .
<br/><br/>Part I. The Algebra-Geometry Lexicon.<br/><br/> 1. Hilbertʹs Nullstellensatz <br/><br/>2. Noetherian and Artinian Rings <br/><br/>3. The Zariski Topology <br/><br/>4. A Summary of the Lexicon <br/><br/>Part II. Dimension. 5. Krull Dimension and Transcendence Degree <br/><br/>6. Localization <br/><br/>7. The Principal Ideal Theorem <br/><br/>8. Integral Extensions <br/><br/>Part III. Computational Methods. 9. Grobner Bases <br/><br/>10. Fibers and Images of Morphisms Revisited <br/><br/>11. Hilbert Series and Dimension<br/><br/>Part IV. Local Rings. 12. Dimension Theory <br/><br/>13. Regular Local Rings <br/><br/>14. Rings of Dimension One <br/><br/>Solutions of Some Exercises. 
<br/><br/><label>ISBN: </label>9783642035456 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Commutative algebra	<br/>Computer science--Mathematics	<br/>Algebra<br/>Mathematics<br/>Commutative rings
<br/><br/><label>Dewey Class. No.: </label>512.44  / GRE/C