Coverart for item
The Resource Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors

Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors

Label
Monomial ideals, computations and applications
Title
Monomial ideals, computations and applications
Statement of responsibility
Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
Contributor
Subject
Language
eng
Summary
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by Jürgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep Álvarez Montaner. The chapters, written by top experts, include computer tutorials that emphasize the computational aspects of the respective areas. Monomial ideals and algebras are, in a sense, among the simplest structures in commutative algebra and the main objects of combinatorial commutative algebra. Also, they are of major importance for at least three reasons. Firstly, Gröbner basis theory allows us to treat certain problems on general polynomial ideals by means of monomial ideals. Secondly, the combinatorial structure of monomial ideals connects them to other combinatorial structures and allows us to solve problems on both sides of this correspondence using the techniques of each of the respective areas. And thirdly, the combinatorial nature of monomial ideals also makes them particularly well suited to the development of algorithms to work with them and then generate algorithms for more general structures
Member of
Cataloging source
YDXCP
Dewey number
512/.44
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1965-
http://library.link/vocab/relatedWorkOrContributorName
  • Bigatti, Anna M.
  • Gimenez, Philippe
  • Sáenz-de-Cabezón, Eduardo
Series statement
Lecture notes in mathematics,
Series volume
2083
http://library.link/vocab/subjectName
  • Commutative algebra
  • Ideals (Algebra)
  • Homology theory
Label
Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A survey on Stanley depth -- Stanley decompositions using CoCoA -- A beginner's guide to edge and cover ideals -- Edge ideals using Macaulay2 -- Local cohomology modules supported on monomial ideals -- Local cohomology using Macaulay2
Control code
843532500
Dimensions
24 cm
Extent
xi, 194 pages
Isbn
9783642387418
Lccn
2013945178
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)843532500
Label
Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A survey on Stanley depth -- Stanley decompositions using CoCoA -- A beginner's guide to edge and cover ideals -- Edge ideals using Macaulay2 -- Local cohomology modules supported on monomial ideals -- Local cohomology using Macaulay2
Control code
843532500
Dimensions
24 cm
Extent
xi, 194 pages
Isbn
9783642387418
Lccn
2013945178
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)843532500

Library Locations

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      38.944377 -92.326537
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