Results 71 to 80 of about 2,227,707 (156)
Stanley depth and simplicial spanning trees [PDF]
Journal of Algebraic Combinatorics, 2015 29 pages; some proofs clarified and many small corrections. To appear in J.
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On the depth and Stanley depth of the integral closure of powers of monomial ideals
Collectanea Mathematica, 2019 Let $\mathbb{K}$ be a field and $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over $\mathbb{K}$. Assume that $G$ is a graph with edge ideal $I(G)$. We prove that the modules $S/\overline{I(G)^k}$ and $\overline{I(G)^k}/\overline{I(G)^{k+1}}$ satisfy Stanley's inequality for every integer $k\gg 0$. If $G$ is a non-bipartite graph,
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Depth and Stanley depth of the path ideal associated to an $n$-cyclic graph
TURKISH JOURNAL OF MATHEMATICS, 2017 We compute the depth and Stanley depth for the quotient ring of the path ideal of length $3$ associated to a $n$-cyclic graph, given some precise formulas for depth when $n\not\equiv 1\,(\mbox{mod}\ 4)$, tight bounds when $n\equiv 1\,(\mbox{mod}\ 4)$ and for Stanley depth when $n\equiv 0,3\,(\mbox{mod}\ 4)$, tight bounds when $n\equiv 1,2\,(\mbox{mod}\
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Depth and Stanley depth of powers of the path ideal of a cycle graph
Revista de la Unión Matemática Argentina15 pages; correction of the main ...
Balanescu, Silviu, Cimpoeas, Mircea
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Some remarks on the Stanley's depth for multigraded modules
Le Matematiche, 2008 6 ...
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Stanley depth of monomial ideals
, 2014 Let $I\supsetneq J$ be two monomial ideals of a polynomial algebra over a field generated in degree $\geq d$, resp. $\geq d+1$ . We study when the Stanley Conjecture holds for $I/J$ using the recent result of \cite{IKM} concerning the polarization.
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On the Stanley depth of powers of edge ideals
Journal of Algebra, 2017 Let $\mathbb{K}$ be a field and $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over $\mathbb{K}$. Let $G$ be a graph with $n$ vertices. Assume that $I=I(G)$ is the edge ideal of $G$ and $p$ is the number of its bipartite connected components. We prove that for every positive integer $k$, the inequalities ${\rm sdepth}(I^k/I^{k+1})
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Stanley depth of powers of the path ideal
, 2014 The aim of this paper is to give a formula for the Stanley depth of quotient of powers of the path ideal. As a consequence, we establish that the behaivior of the Stanley depth of quotient of powers of the path ideal is the same as a classical result of Brodmann on depth.
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Depth and Stanley depth of symbolic powers of cover ideals of graphs
Journal of Algebra, 2017 arXiv admin note: text overlap with arXiv:1604 ...
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