Determinantal Rings (Record no. 9765)

MARC details
000 -LEADER
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
-- PDF
-- 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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