Results 41 to 50 of about 2,508,330 (246)
Interval partitions and Stanley depth
Journal of Combinatorial Theory, Series A, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biró, Csaba +4 more
openaire +1 more source
Monomial ideals of minimal depth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
doaj +1 more source
Journal of Indonesian Economy and Business, 2022 Introduction/Main Objectives: This study investigates the relationships between equity markets during the Asian financial crisis and the subprime mortgage crisis in Asia-Pacific.
Hayun Kusumah +3 more
doaj +1 more source
A non-partitionable Cohen-Macaulay simplicial complex [PDF]
, 2016 A long-standing conjecture of Stanley states that every Cohen-Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample.
Duval, Art M. +3 more
core +3 more sources
Teopoetika: genealogija i perspektiva
Diacovensia, 2020 Based on the works of Stanley Romaine Hopper, Amos Niven Wil-der and David LeRoy Miller, the article introduces the programmatic determinants of theopoetics: 1) our topology of being has changed; 2) the Western consciousness is being transformed; 3) what
Krešimir Šimić
doaj +1 more source
Stanley decompositions and Hilbert depth in the Koszul complex
, 2010 Stanley decompositions of multigraded modules $M$ over polynomials rings have been discussed intensively in recent years. There is a natural notion of depth that goes with a Stanley decomposition, called the Stanley depth.
Bruns, Winfried +2 more
core +1 more source
Stanley depths of certain Stanley–Reisner rings
Journal of Algebra, 2014 Let \(K\) be a field, \(S=K[x_1, \dots, x_n]\) be the polynomial ring over the field \(K\) and \(M\) a non-zero finitely generated \(\mathbb Z^n\)-graded \(S\)-module. Let \(u\in M\) be a homogeneous element and \(Z\subseteq \{x_1, \dots, x_n\}\). The \(K\)-subspace \(uK[Z]\) generated by all elements \(uv\) with \(v\in K[Z]\) is called a Stanley space
openaire +1 more source
Gröbner bases of syzygies and Stanley depth
Journal of Algebra, 2011 Let F. be a any free resolution of a Z^n-graded submodule of a free module over the polynomial ring K[x_1, ..., x_n]. We show that for a suitable term order on F., the initial module of the p'th syzygy module Z_p is generated by terms m_ie_i where the m_i are monomials in K[x_{p+1}, ..., x_n]. Also for a large class of free resolutions F., encompassing
Fløystad, Gunnar, Herzog, Jürgen
openaire +4 more sources
Stanley depth of multigraded modules
Journal of Algebra, 2009 The Stanley's Conjecture on Cohen-Macaulay multigraded modules is studied especially in dimension 2. In codimension 2 similar results were obtained by Herzog, Soleyman-Jahan and Yassemi. As a consequence of our results Stanley's Conjecture holds in 5 variables.
openaire +2 more sources
Stanley depth of squarefree monomial ideals
Journal of Algebra, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keller, Mitchel T., Young, Stephen J.
openaire +2 more sources