Results 31 to 40 of about 7,890,386 (291)
Projective dimension and regularity of path ideals of cycles [PDF]
Journal of Algebra and its Applications, 2016 In this paper, we study the generalized path ideals, which is a new class of path ideals of cycle graphs. These ideals naturally generalize the standard path ideals of cycles, as studied by Alilooee and Faridi [On the resolution of path ideals of cycles,
G. Zhu
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Resolutions of monomial ideals of projective dimension 1 [PDF]
, 2017 We show that a monomial ideal I in a polynomial ring S has projective dimension ≤ 1 if and only if the minimal free resolution of S∕I is supported on a graph that is a tree. This is done by constructing specific graphs which support the resolution of the
S. Faridi, Ben Hersey
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Hypergraphs with high projective dimension and 1-dimensional hypergraphs [PDF]
International journal of algebra and computation, 2016 We prove a sufficient and a necessary condition for a square-free monomial ideal $J$ associated to a (dual) hypergraph to have projective dimension equal to the minimal number of generators of $J$ minus 2.
Kuei-Nuan Lin, P. Mantero
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Bounds on the regularity and projective dimension of ideals associated to graphs [PDF]
Journal of Algebraic Combinatorics, 2012 In this paper, we give new upper bounds on the regularity of edge ideals whose resolutions are k-step linear; surprisingly, the bounds are logarithmic in the number of variables.
Hailong Dao, C. Huneke, Jay Schweig
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Projective dimension and regularity of the path ideal of the line graph [PDF]
, 2016 By generalizing the notion of the path ideal of a graph, we study some algebraic properties of some path ideals associated to a line graph. We show that the quotient ring of these ideals are always sequentially Cohen–Macaulay and also provide some exact ...
G. Zhu
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Dislocated function projective partial synchronization between dynamical systems
Alexandria Engineering Journal, 2023 By generalizing the classical Lorenz chaotic system, we construct the n-dimension and m-dimension dynamical systems as the drive system and response one respectively.
Li De-kui, Wei Xing-min
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Core of projective dimension one modules [PDF]
manuscripta mathematica, 2003 7 pages, to appear in Manu ...
Corso, Alberto +2 more
openaire +2 more sources
Ding-同调模的稳定性(Stability of Ding homological modules)
Zhejiang Daxue xuebao. Lixue ban, 2015 A homological characterization of the Ding projective dimensions of modules over arbitrary associative rings is give. Also, we prove that an iteration of the procedure used to define the Ding projective modules yields exactly the Ding projective modules.
WEIJie(魏杰), DONGJun(董珺)
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Frobenius Betti numbers and modules of finite projective dimension [PDF]
, 2014 Let $(R,\mathfrak{m},K)$ be a local ring, and let $M$ be an $R$-module of finite length. We study asymptotic invariants, $\beta^F_i(M,R),$ defined by twisting with Frobenius the free resolution of $M$.
A. D. Stefani +2 more
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Le corps comme cadre et surface de projection chez Gina Pane et Pier Paolo Pasolini
Images Re-Vues, 2022 This article focuses on the conception of frame elaborated by Pier Paolo Pasolini and Gina Pane in their respective works. It is first of all a matter of observing the role of the projection device in the genesis of their relationship to framing. Between
Janig Bégoc
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