Monomial ideals, computations and applications
Resource Information
The work Monomial ideals, computations and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Monomial ideals, computations and applications
Resource Information
The work Monomial ideals, computations and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
- Label
- Monomial ideals, computations and applications
- Statement of responsibility
- Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors
- 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
- 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
- Series statement
- Lecture notes in mathematics,
- Series volume
- 2083
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Context of Monomial ideals, computations and applicationsWork of
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