000 | 02960nam a22004695i 4500 | ||
---|---|---|---|
001 | 978-3-642-38742-5 | ||
003 | DE-He213 | ||
005 | 20150803155058.0 | ||
007 | cr nn 008mamaa | ||
008 | 130823s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642387425 _9978-3-642-38742-5 |
||
024 | 7 |
_a10.1007/978-3-642-38742-5 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
|
082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aBigatti, Anna M. _eeditor. |
|
245 | 1 | 0 |
_aMonomial Ideals, Computations and Applications _h[electronic resource] / _cedited by Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
|
300 |
_aXI, 194 p. 42 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2083 |
|
505 | 0 | _aA 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. | |
520 | _aThis 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 | _aMathematics. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAlgebra. |
700 | 1 |
_aGimenez, Philippe. _eeditor. |
|
700 | 1 |
_aSáenz-de-Cabezón, Eduardo. _eeditor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642387418 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2083 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-38742-5 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c6999 _d6999 |