《交换代数引论》在本科抽象代数课程的基础上讲述了交换代数的基本且重要的Hilbert基定理、Hilbert零点定理、理想的准素分解、相伴素理想、维数、重复度等内容。同时，对应地讨论了代数集的基本性质、代数集的分解和维数、代数曲线上的点的奇异性质等。另外，还讨论了离散赋值环、CohenMacaulay环和正则局部环。 《交换代数引论》可作为本科生或研究生的交换代数和代数几何课程的入门教材或参考书。

This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are:(a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (...(展开全部)

This book is the child of an unborn parent. Some years ago the senior author began the preparation of a Colloquium volume on algebraic geometry, and he was then faced with the difficult task of incorporating in that volume the vast amount of purely algebraic material which is needed in abstract algebraic geometry. The original .plan was to insert, from time to time, algebraic d...(展开全部)

This book is the child of an unborn parent. Some years ago the senior author began the preparation of a Colloquium volume on algebraic geometry, and he was then faced with the difficult task of incorporating in that volume the vast amount of purely algebraic material which is needed in abstract algebraic geometry. The original .plan was to insert, from time to time, algebraic d...(展开全部)

Thelastdecadehasseenanumberofexcitingdevelopmentsattheintersectionofcommutativealgebrawithcombinatorics.Newmethodshaveevolvedoutofaninfluxofideasfromsuchdiverseareasaspolyhedralgeometry,theoreticalphysics,representationtheory,homologicalalgebra,symplecticgeometry,graphtheory,integerprogramming,symboliccomputation,andstatistics.Thepurposeofthisvolumeistoprovideaselfcontainedintr...(展开全部)

Thelastdecadehasseenanumberofexcitingdevelopmentsattheintersectionofcommutativealgebrawithcombinatorics.Newmethodshaveevolvedoutofaninfluxofideasfromsuchdiverseareasaspolyhedralgeometry,theoreticalphysics,representationtheory,homologicalalgebra,symplecticgeometry,graphtheory,integerprogramming,symboliccomputation,andstatistics.Thepurposeofthisvolumeistoprovideaselfcontainedintr...(展开全部)