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 Jrgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep lvarez 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, Grbner 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
HNK
Dewey number
512/.44
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA251.3
LC item number
.M66 2013eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • 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)
  • Commutative algebra
  • Ideals (Algebra)
Label
Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 187-194)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • A Beginner's Guide to Edge and Cover Ideals
  • Adam Van Tuyl
  • Edge Ideals Using Macaulay2
  • Adam Van Tuyl
  • Part III:
  • Local Cohomology.
  • Local Cohomology Modules Supported on Monomial Ideals
  • Josep Àlvarez Montaner
  • Local Cohomology Using Macaulay2
  • Josep Àlvarez Montaner, Oscar Fernández-Ramos
  • Part I:
  • Stanley Decompositions.
  • A Survey on Stanley Depth
  • Jürgen Herzog
  • Stanley Decompositions Using CoCoA
  • Anna Maria Bigatti, Emanuela De Negri
  • Part II:
  • Edge Ideals.
Control code
857119525
Dimensions
unknown
Extent
1 online resource (xi, 194 pages)
Form of item
online
Isbn
9783642387425
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-38742-5
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)857119525
Label
Monomial ideals, computations and applications, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
Publication
Bibliography note
Includes bibliographical references (pages 187-194)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • A Beginner's Guide to Edge and Cover Ideals
  • Adam Van Tuyl
  • Edge Ideals Using Macaulay2
  • Adam Van Tuyl
  • Part III:
  • Local Cohomology.
  • Local Cohomology Modules Supported on Monomial Ideals
  • Josep Àlvarez Montaner
  • Local Cohomology Using Macaulay2
  • Josep Àlvarez Montaner, Oscar Fernández-Ramos
  • Part I:
  • Stanley Decompositions.
  • A Survey on Stanley Depth
  • Jürgen Herzog
  • Stanley Decompositions Using CoCoA
  • Anna Maria Bigatti, Emanuela De Negri
  • Part II:
  • Edge Ideals.
Control code
857119525
Dimensions
unknown
Extent
1 online resource (xi, 194 pages)
Form of item
online
Isbn
9783642387425
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-38742-5
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)857119525

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      38.944491 -92.326012
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