Results 21 to 30 of about 7,890,386 (291)

Projective class rings of a kind of category of Yetter-Drinfeld modules

open access: yesAIMS Mathematics, 2023
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
doaj   +1 more source

Finitistic dimension through infinite projective dimension [PDF]

open access: yesBulletin of the London Mathematical Society, 2009
10 ...
Huard, Francois   +2 more
openaire   +2 more sources

Allowing for the Projective Dimension of Agency in Analysing Alternative Food Networks

open access: yesSociologia Ruralis, 2019
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

open access: yesJournal of Mathematical Study, 2022
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
openaire   +1 more source

Codimension and projective dimension up to symmetry [PDF]

open access: yesMathematische Nachrichten, 2018
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]

open access: yes, 2017
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]

open access: yesProceedings of the National Academy of Sciences, 2018
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
openaire   +2 more sources

Characterization and Lower Bounds for Branching Program Size using Projective Dimension [PDF]

open access: yes, 2016
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
core   +2 more sources

Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs

open access: yesMathematics, 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
doaj   +1 more source

Base manifolds for fibrations of projective irreducible symplectic manifolds [PDF]

open access: yes, 2007
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
core   +2 more sources

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