Results 11 to 20 of about 134,827 (278)
Homological dimension based on a class of Gorenstein flat modules
Comptes Rendus. Mathématique, 2023 In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek in [26].
Dalezios, Georgios, Emmanouil, Ioannis
doaj +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2022 M. C. Tamburini and P. Zucca proved that the special linear group of dimension greater than 13 over the ring of Gaussian integers is generated by three involutions, two of which commute (J. of Algebra, 1997).
R. I. Gvozdev +2 more
doaj +1 more source
On Severi varieties as intersections of a minimum number of quadrics
Cubo, 2022 Let $\cV$ be a variety related to the second row of the Freudenthal-Tits Magic square in $N$-dimensional projective space over an arbitrary field. We show that there exist $M\leq N$ quadrics intersecting precisely in $\cV$ if and only if there exists a ...
Hendrik Van Maldeghem, Magali Victoor
doaj +1 more source
Projective Dimension of Hypergraphs
, 2021 Given a square-free monomial ideal $I$, satisfying certain hypotheses, in a polynomial ring $R$ over a field $\mathbb{K}$, we compute the projective dimension of $I$. Specifically, we focus on the cases where the 1-skeleton of an associated hypergraph is either a string or a cycle.
Lin, Kuei-Nuan, Mapes, Sonja
openaire +2 more sources
Level and Gorenstein projective dimension
Journal of Algebra, 2022 We investigate the relationship between the level of a bounded complex over a commutative ring with respect to the class of Gorenstein projective modules and other invariants of the complex or ring, such as projective dimension, Gorenstein projective dimension, and Krull dimension. The results build upon work done by J. Christensen [6], H.
Laila Awadalla, Thomas Marley
openaire +2 more sources
Finitistic dimension through infinite projective dimension [PDF]
Bulletin of the London Mathematical Society, 2009 10 ...
Huard, Francois +2 more
openaire +2 more sources
$\mathfrak{X}$-Gorenstein Projective Dimensions
Journal 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
Projection pursuit in high dimensions [PDF]
Proceedings 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]
, 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
Base manifolds for fibrations of projective irreducible symplectic manifolds [PDF]
, 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