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Monomial ideals, computations and ap...

Bigatti, Anna M. (1965-)

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Monomial ideals, computations and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Monomial ideals, computations and applications // Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors.
其他作者:	Bigatti, Anna M.
出版者:	Heidelberg :Springer, : c2013.,
面頁冊數:	xi, 194 p. :ill. ;24 cm.
標題:	Commutative algebra. -
ISBN:	9783642387418 (pbk.) :

Monomial ideals, computations and applications /
Monomial ideals, computations and applications /Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors. - Heidelberg :Springer,c2013. - xi, 194 p. :ill. ;24 cm. - Lecture notes in mathematics,20830075-8434 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references.

A survey on Stanley depth --

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.

ISBN: 9783642387418 (pbk.) :EUR44.99Subjects--Topical Terms:

604140
Commutative algebra.

Dewey Class. No.: 512/.44

Monomial ideals, computations and applications /
LDR:02109cam a2200229Ia 4500 001 1900929
003 OCoLC
005 20140220044656.0
008 140121s2013 gw a b 000 0 eng d
020 $a 9783642387418 (pbk.) : $c EUR44.99
020 $a 3642387411 (pbk.)
020 $a 9783642387425 (ebk.)
020 $a 364238742X (ebk.)
035 $a AS-BW-103-02
040 $a YDXCP $b eng
082 0 4 $a 512/.44 $2 23
245 1 0 $a Monomial ideals, computations and applications / $c Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón, editors.
260 # $a Heidelberg : $b Springer, $c c2013.
300 $a xi, 194 p. : $b ill. ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2083
504 $a Includes bibliographical references.
505 0 # $t A survey on Stanley depth -- $t Stanley decompositions using CoCo A -- $t A beginner's guide to edge and cover ideals -- $t Edge ideals using Macaulay 2 -- $t Local cohomology modules supported on monomial ideals -- $t Local cohomology using Macaulay 2.
520 # $a 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.
650 # 0 $a Commutative algebra. $3 604140
650 # 0 $a Ideals (Algebra) $3 706160
650 # 0 $a Homology theory. $3 555733
700 1 # $a Bigatti, Anna M. $q (Anna Maria), $d 1965- $3 2024470
700 1 # $a Gimenez, Philippe. $3 2024471
700 1 # $a Sáenz-de-Cabezón, Eduardo. $3 2024472
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985