How to compute the Stanley depth of a module
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comunitat-uji-handle2:10234/7037
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Title
How to compute the Stanley depth of a moduleDate
2017Publisher
American Mathematical SocietyISSN
0025-5718; 1088-6842Type
info:eu-repo/semantics/articlePublisher version
http://www.ams.org/journals/mcom/2017-86-303/home.htmlVersion
info:eu-repo/semantics/sumittedVersionAbstract
In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multigraded module M over the polynomialring K[X1,...,Xn]. As an application, we give an example of a module whoseStanley ... [+]
In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multigraded module M over the polynomialring K[X1,...,Xn]. As an application, we give an example of a module whoseStanley depth is strictly greater than the depth of its syzygy module. In particular,we obtain complete answers for two open questions raised by Herzog.Moreover, we show that the question whether M has Stanley depth at leastr can be reduced to the question whether a certain combinatorially definedpolytope P contains a Zn-lattice point. [-]
Is part of
MATHEMATICS OF COMPUTATION Volume 86, Number 303, January 2017, Pages 455–472Rights
(c) 2016 American Mathematical Society.
"First published in MATHEMATICS OF COMPUTATION in volume 86 and number 303, January 2017, published by the American Mathematical Society"
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- MAT_Articles [766]