The Resource Monomial ideals, Jürgen Herzog, Takayuki Hibi

Monomial ideals, Jürgen Herzog, Takayuki Hibi

Label
Monomial ideals
Title
Monomial ideals
Statement of responsibility
Jürgen Herzog, Takayuki Hibi
Creator
Contributor
Subject
Language
eng
Summary
"This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal--Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text"--back cover
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorDate
1941-
http://library.link/vocab/creatorName
Herzog, Jürgen
Index
index present
LC call number
QA251.3
LC item number
.H489 2011
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Hibi, Takayuki
Series statement
Graduate texts in mathematics,
Series volume
260
http://library.link/vocab/subjectName
  • Commutative algebra
  • Combinatorial analysis
  • Gröbner bases
  • Characteristic functions
  • Characteristic functions
  • Combinatorial analysis
  • Commutative algebra
  • Gröbner bases
  • Idealtheorie
  • Gröbner-Basis
Label
Monomial ideals, Jürgen Herzog, Takayuki Hibi
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 295-300) and index
Contents
Gröbner bases -- Hilbert functions and resolutions -- Combinatorics
Dimensions
24 cm.
Extent
xvi, 305 p.
Isbn
9780857291059
Isbn Type
(acid-free paper)
Lccn
2010937479
Other physical details
ill.
System control number
  • (OCoLC)668190675
  • (OCoLC)ocn668190675
Label
Monomial ideals, Jürgen Herzog, Takayuki Hibi
Publication
Bibliography note
Includes bibliographical references (p. 295-300) and index
Contents
Gröbner bases -- Hilbert functions and resolutions -- Combinatorics
Dimensions
24 cm.
Extent
xvi, 305 p.
Isbn
9780857291059
Isbn Type
(acid-free paper)
Lccn
2010937479
Other physical details
ill.
System control number
  • (OCoLC)668190675
  • (OCoLC)ocn668190675

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...