Determinantal Rings (Record no. 9765)
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000 -LEADER | |
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fixed length control field | 03486nam a22004935i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-540-39274-3 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151154.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 121227s1988 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783540392743 |
-- | 978-3-540-39274-3 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/BFb0080378 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA174-183 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBG |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT002010 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBG |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.2 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Bruns, Winfried. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Determinantal Rings |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Winfried Bruns, Udo Vetter. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 1988. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | VIII, 240 p. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 1327 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Preliminaries -- Ideals of maximal minors -- Generically perfect ideals -- Algebras with straightening law on posets of minors -- The structure of an ASL -- Integrity and normality. The singular locus -- Generic points and invariant theory -- The divisor class group and the canonical class -- Powers of ideals of maximal minors -- Primary decomposition -- Representation theory -- Principal radical systems -- Generic modules -- The module of Kähler differentials -- Derivations and rigidity. |
520 ## - SUMMARY, ETC. | |
Summary, etc | Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Topological Groups. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Group Theory and Generalizations. |
-- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Topological Groups, Lie Groups. |
-- | http://scigraph.springernature.com/things/product-market-codes/M11132 |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Vetter, Udo. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783662183878 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540194682 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 1327 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/BFb0080378 |
912 ## - | |
-- | ZDB-2-SMA |
912 ## - | |
-- | ZDB-2-LNM |
912 ## - | |
-- | ZDB-2-BAE |
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