Results 191 to 200 of about 11,820 (207)
Rediscovery of one of the world's rarest sharks, the sailback houndshark Gogolia filewoodi, in Papua New Guinea. [PDF]
Sagumai J +3 more
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Caregiver and healthcare professional perspectives on drivers of routine immunisation uptake in East New Britain, Papua New Guinea: a qualitative study. [PDF]
Dalton M +18 more
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Analysis of food policymaking through a food systems lens: a review of analytical frameworks. [PDF]
Stanley I, Murrin C.
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Tight Spaces, Big Discoveries: Decoding Human Adhesion Biology with Avian Chorioallantoic Membrane Xenograft Models. [PDF]
McAuley N +7 more
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Mathematical Reports, 2023
Let S be a ring of polynomials in finitely many variables over a field. In this paper, we give lower bounds for depth and Stanley depth of modules of the type S/It for t ≥ 1, where I is the edge ideal of some caterpillar and lobster trees.
TOOBA ZAHID +2 more
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Let S be a ring of polynomials in finitely many variables over a field. In this paper, we give lower bounds for depth and Stanley depth of modules of the type S/It for t ≥ 1, where I is the edge ideal of some caterpillar and lobster trees.
TOOBA ZAHID +2 more
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Stanley depth and Stanley support-regularity of monomial ideals
Collectanea Mathematica, 2015Let \(S=K[x_{1},\dots,x_{n}]\) be a polynomial ring over a field \(K\). Let \(I=\bigcap_{I=1}^{s}\) be an irredundant primary decomposition of a monomial ideal \(I\) in \(S\), where the \(Q_{i}'s\) are also monomial ideals. Lyubeznik acquired that \[ \text{depth}(S/I)\geq\text{siz}(I) \] where \(\text{size}(I)\) is the number \(v+n-h-1\) with \(v\) is ...
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2013
At the MONICA conference “MONomial Ideals, Computations and Applications” at the CIEM, Castro Urdiales (Cantabria, Spain) in July 2011, I gave three lectures covering different topics of Combinatorial Commutative Algebra: (1) A survey on Stanley decompositions. (2) Generalized Hibi rings and Hibi ideals.
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At the MONICA conference “MONomial Ideals, Computations and Applications” at the CIEM, Castro Urdiales (Cantabria, Spain) in July 2011, I gave three lectures covering different topics of Combinatorial Commutative Algebra: (1) A survey on Stanley decompositions. (2) Generalized Hibi rings and Hibi ideals.
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Stanley depth of weakly 0-decomposable ideals
Archiv der Mathematik, 2014The author provides a new class of monomial ideals which satisfy Stanley's depth conjecture. He shows that weakly \(0\)-decomposable ideals, which include weakly polymatroidal ideals, satisfy Stanley's conjecture (Theorem 2.12). This generalizes a recent result due to \textit{S. A. S. Fakhari} [Arch. Math. 103, No.
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On Stanley Depths of Certain Monomial Factor Algebras
Canadian Mathematical Bulletin, 2015AbstractLet S = K[x1 , . . . , xn] be the polynomial ring in n-variables over a ûeld K and I a monomial ideal of S. According to one standard primary decomposition of I, we get a Stanley decomposition of the monomial factor algebra S/I. Using this Stanley decomposition, one can estimate the Stanley depth of S/I. It is proved that sdepthS(S/I) ≤ sizeS(I)
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How to compute the Stanley depth of a monomial ideal
Journal of Algebra, 2009Jürgen Herzog, Marius Vladoiu
exaly

