Undergraduate commutative algebra (Record no. 58562)
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000 -LEADER | |
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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 |
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 |
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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 |