Results 1 to 10 of about 11,820 (207)
On the Stanley Depth of Powers of Monomial Ideals [PDF]
Mathematics, 2019 In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al.
S. A. Seyed Fakhari
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Stanley depth of squarefree Veronese ideals [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.
Cimpoeas Mircea
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Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]
HeliyonLet Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
Mujahid Ullah Khan Afridi +2 more
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Stanley's conjecture, cover depth and extremal simplicial complexes
Le Matematiche, 2008 A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so-called Stanley depth, a geometric one. We describe two related geometric notions, the cover depth and the greedy depth, and we study their relations with
Benjamin Nill, Kathrin Vorwerk
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A non-partitionable Cohen–Macaulay simplicial complex [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an explicit counterexample.
Art M. Duval +3 more
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TRANSFER OF HEAVY METALS IN SOIL IN-PLUM CULTIVATION: A FIELD STUDY IN ADAMACHI IASI, ROMANIA [PDF]
Journal of Applied Life Sciences and Environment, 2023 Currently, global environmental concerns about heavy metal pollution are driven by rapid urbanization and industrial development. Therefore, a field study was conducted to assess the concentration of heavy metals (Pb, Co, Zn, Ni and Cu) in orchard soils ...
Mariana RUSU +5 more
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Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis
Journal of Mathematics, 2022 Graph theory is widely used in power network analysis, complex network, and engineering calculation. Stanley depth is a geometric invariant of the module which is closely related to an algebraic invariant called depth of the module.
Guiling Zeng +4 more
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Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs
Mathematics, 2023 In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.
Ying Wang +5 more
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Stanley depth of weakly polymatroidal ideals [PDF]
Archiv der Mathematik, 2014 Let $\mathbb{K}$ be a field and $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over the field $\mathbb{K}$. In this paper, it is shown that Stanley's conjecture holds for $S/I$, if $I$ is a weakly polymatroidal ideal.
Pournaki, M. +2 more
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Stanley Cavell and Film: Scepticism and Self-Reliance at the Cinema, by Catherine Wheatley
Alphaville: Journal of Film and Screen Media, 2021 Stanley Cavell and Film is Catherine Wheatley’s entry in Bloomsbury’s “Film Thinks”, a series dedicated to explorations of cinema’s influence on thinkers such as Noël Carroll, Roland Barthes and Georges Didi-Huberman.
Glen W. Norton
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