Date and Time

Binomial Ideals (Record no. 9744)

000 -LEADER
fixed length control field 03525cam a22005055i 4500
001 - CONTROL NUMBER
control field 21676298
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220215105057.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr |||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180928s2018 gw |||| o |||| 0|eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2019744217
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783030070199 (Pbk)
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-95349-6
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (DE-He213)978-3-319-95349-6
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Description conventions pn
-- rda
Transcribing agency IISERB
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT002010
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBF
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.44 H44B
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Herzog, Jurgen.
9 (RLIN) 28098
245 10 - TITLE STATEMENT
Title Binomial Ideals
Statement of responsibility, etc by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Switzerland:
Name of publisher, distributor, etc Springer Nature,
Date of publication, distribution, etc 2018.
300 ## - PHYSICAL DESCRIPTION
Extent XIX, 321 p.
Dimensions 55 illustrations, 4 illustrations in color.
490 1# - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume number/sequential designation 279
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part I: Basic Concepts -- Polynomial Rings and Gröbner Bases -- Review of Commutative Algebra -- Part II:Binomial Ideals and Convex Polytopes -- Introduction to Binomial Ideals -- Convex Polytopes and Unimodular Triangulations -- Part III. Applications in Combinatorics and Statistics- Edge Polytopes and Edge Rings -- Join-Meet Ideals of Finite Lattices -- Binomial Edge Ideals and Related Ideals -- Ideals Generated by 2-Minors -- Statistics -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. The book begins with a brief, self-contained overview of the modern theory of Gröbner bases and the necessary algebraic and homological concepts from commutative algebra. Binomials and binomial ideals are then considered in detail, along with a short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the theory of binomial ideals, including edge rings and edge polytopes, join-meet ideals of finite lattices, binomial edge ideals, ideals generated by 2-minors, and binomial ideals arising from statistics. Each chapter concludes with a set of exercises and a list of related topics and results that will complement and offer a better understanding of the material presented. Binomial Ideals is suitable for graduate students in courses on commutative algebra, algebraic combinatorics, and statistics. Additionally, researchers interested in any of these areas but familiar with only the basic facts of commutative algebra will find it to be a valuable resource.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorics.
9 (RLIN) 28099
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Commutative algebra.
9 (RLIN) 28100
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Commutative rings.
9 (RLIN) 28101
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Convex geometry.
9 (RLIN) 28102
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Discrete geometry.
9 (RLIN) 28103
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Commutative Rings and Algebras.
9 (RLIN) 28104
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorics.
9 (RLIN) 28099
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Convex and Discrete Geometry.
9 (RLIN) 28105
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hibi, Takayuki.
9 (RLIN) 28106
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ohsugi, Hidefumi.
9 (RLIN) 28107
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Title Binomial ideals
International Standard Book Number 9783319953472
Record control number (DLC) 2018949912
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783030070199
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319953472
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319953489
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
Volume number/sequential designation 279
9 (RLIN) 28108
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 0
b ibc
c origres
d u
e ncip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Price effective from Permanent Location Full call number Public note Withdrawn status Source of classification or shelving scheme Damaged status Cost, normal purchase price Lost status Date acquired Cost, replacement price Barcode Koha item type Source of acquisition Current Location Not for loan Shelving location Collection code Date last seen
2022-02-15Central Library, IISER Bhopal512.44 H44BReserve   2529.04 2022-02-154187.1610880Books31Central Library, IISER BhopalNot For LoanReference SectionReference2022-02-15



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