A singular introduction to commutative algebra
著者
書誌事項
A singular introduction to commutative algebra
Springer, c2008
2nd, extended ed
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注記
Includes bibliographical refereces (p. [649]-659 ) and indexes
内容説明・目次
内容説明
This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book's most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.
目次
Rings, Ideals and Standard Bases.- Modules.- Noether Normalization and Applications.- Primary Decomposition and Related Topics.- Hilbert Function and Dimension.- Complete Local Rings.- Homological Algebra.
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