Undergraduate commutative algebra (Record no. 58562)

MARC details
000 -LEADER
fixed length control field 01790 a2200217 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 230304b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521458894
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.24
Item number REI
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Reid, Miles
245 ## - TITLE STATEMENT
Title Undergraduate commutative algebra
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Cambridge University Press,
Date of publication, distribution, etc 1995.
Place of publication, distribution, etc Cambridge:
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 153p.:
Other physical details ill.; pbk;
Dimensions 23cm.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title London Mathematical Society Student Texts (29)
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Include index
520 ## - SUMMARY, ETC.
Summary, etc Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.<br/><br/>https://www.cambridge.org/core/books/undergraduate-commutative-algebra/1A1064397E4E67AB47FC7D82FA0033E7#fndtn-information
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Commutative algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometric interpretation
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Elementary theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Zorn's lemma
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Date last borrowed Copy number Cost, replacement price Koha item type
    Dewey Decimal Classification     General IIT Gandhinagar IIT Gandhinagar 03/03/2023 CBS Books 0.00 5 512.24 REI 032881 19/02/2024 20/01/2024 1 4132.57 Books


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