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On Characteristic Poset and Stanley Decomposition of S/I

Algebra Colloquium, 2015
Let K be a field and S = K[x1,…,xn] be the polynomial ring in n variables. Let I ⊂ S be a monomial ideal such that S/I is Cohen-Macaulay. By associating a finite poset [Formula: see text] to S/I, we show that if S/I is a Stanley ideal then T/Ĩ is also a Stanley ideal, where T = K[x11,…,x1a1,…,xn1,…,xnan] and Ĩ is the polarization of I.
Ahmad, Sarfraz, Anwar, Imran
openaire   +2 more sources

Block Stanley Decompositions II. Greedy Algorithms, Applications, and Open Problems

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murdock, James, Murdock, Theodore
openaire   +4 more sources

Combinatorics of permutations

SIGA, 2022
In One Line and Close. Permutations as Linear Orders. Descents Alternating Runs Alternating Subsequences In One Line and Anywhere. Permutations as Linear Orders. Inversions. Inversions Inversion in Permutations of Multisets In Many Circles.
M. Bóna
semanticscholar   +1 more source

Postnikov–Stanley Linial arrangement conjecture

Journal of Algebraic Combinatorics, 2020
A characteristic polynomial is an important invariant in the field of hyperplane arrangement. For the Linial arrangement of any irreducible root system, Postnikov and Stanley conjectured that all roots of the characteristic polynomial have the same real ...
Shigetaro Tamura
semanticscholar   +1 more source

Stanley Decompositions Using CoCoA

2013
First released in 1988, CoCoA is a special-purpose Computer Algebra System for doing Computations in Commutative Algebra. It is freely available and offers a textual interface, an Emacs mode, and a graphical user interface common to most platforms [39].
Anna Maria Bigatti, Emanuela De Negri
openaire   +2 more sources

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