Results 21 to 30 of about 7,890,386 (291)
Projective class rings of a kind of category of Yetter-Drinfeld modules
In this paper, all simple Yetter-Drinfeld modules and indecomposable projective Yetter-Drinfeld modules over a family of non-pointed 8m-dimension Hopf algebras of tame type with rank two, are construted and classified.
Yaguo Guo, Shilin Yang
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Finitistic dimension through infinite projective dimension [PDF]
10 ...
Huard, Francois +2 more
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Allowing for the Projective Dimension of Agency in Analysing Alternative Food Networks
This article argues for including the projective dimension of agency in research into 15 alternative food networks. Starting from a review of the literature, I show that referring to the 16 notion of project is useful to answer the questions raised by ...
R. L. Velly
semanticscholar +2 more sources
$\mathfrak{X}$-Gorenstein Projective Dimensions
In this paper, we mainly investigate the $\mathfrak{X}$-Gorenstein projective dimension of modules and the (left) $\mathfrak{X}$-Gorenstein global dimension of rings. Some properties of $\mathfrak{X}$-Gorenstein projective dimensions are obtained. Furthermore, we prove that the (left) $\mathfrak{X}$-Gorenstein global dimension of a ring $R$ is equal to
Wang, Jie, Xu, Xiaowei, Zhao, Zhibing
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Codimension and projective dimension up to symmetry [PDF]
Symmetric ideals in increasingly larger polynomial rings that form an ascending chain are investigated. We focus on the asymptotic behavior of codimensions and projective dimensions of ideals in such a chain. If the ideals are graded it is known that the
D. Le +3 more
semanticscholar +1 more source
Total Betti numbers of modules of finite projective dimension [PDF]
The Buchsbaum-Eisenbud-Horrocks Conjecture predicts that if M is a non-zero module of finite length and finite projective dimension over a local ring R of dimension d, then the i-th Betti number of M is at least d choose i.
M. Walker
semanticscholar +1 more source
Projection pursuit in high dimensions [PDF]
SignificanceA key challenge in analyzing high-dimensional data is to extract meaningful low-dimensional structures, which typically represent signals of interest. Standard and widely used methods include principal components analysis (PCA), independent component analysis (ICA), and projection pursuit.
Peter J. Bickel, Gil Kur, Boaz Nadler
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Characterization and Lower Bounds for Branching Program Size using Projective Dimension [PDF]
We study projective dimension, a graph parameter (denoted by pd$(G)$ for a graph $G$), introduced by (Pudl\'ak, R\"odl 1992), who showed that proving lower bounds for pd$(G_f)$ for bipartite graphs $G_f$ associated with a Boolean function $f$ imply size ...
Dinesh, Krishnamoorthy +2 more
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Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs
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
doaj +1 more source
Base manifolds for fibrations of projective irreducible symplectic manifolds [PDF]
Given a projective irreducible symplectic manifold $M$ of dimension $2n$, a projective manifold $X$ and a surjective holomorphic map $f:M \to X$ with connected fibers of positive dimension, we prove that $X$ is biholomorphic to the projective space of ...
C. Araujo +10 more
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