/ edited by Anna M. Bigatti, Philippe Gimenez, Eduardo S??enz-de-Cabez?لآn
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Berlin, Heidelberg
نام ناشر، پخش کننده و غيره
: Springer Berlin Heidelberg :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XI, 194 p. 42 illus., online resource.
فروست
عنوان فروست
(Lecture Notes in Mathematics,0075-8434
مشخصه جلد
; 2083)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by J?╝rgen 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, Gr?╢bner 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.
متن يادداشت
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.?╗╣
فروست (داده ارتباطی)
عنوان
Lecture Notes in Mathematics,0075-8434
شماره جلد
2083
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Algebra
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )