Results 11 to 20 of about 7,890,386 (291)
On modules of finite projective dimension [PDF]
Nagoya Mathematical Journal, 2014 We address two aspects of finitely generated modules of finite projective dimension over local rings and their connection in between: embeddability and grade of order ideals of minimal generators of syzygies.
S. Dutta
semanticscholar +6 more sources
Projective dimension in filtrated K-theory [PDF]
, 2013 Under mild assumptions, we characterise modules with projective resolutions of length n in the target category of filtrated K-theory over a finite topological space in terms of two conditions involving certain Tor-groups.
Bentmann, Rasmus
core +3 more sources
Finitistic dimension conjectures via Gorenstein projective dimension [PDF]
Journal of Algebra, 2022 It is a well-known result of Auslander and Reiten that contravariant finiteness of the class $\mathcal{P}^{\mathrm{fin}}_\infty$ (of finitely generated modules of finite projective dimension) over an Artin algebra is a sufficient condition for validity of finitistic dimension conjectures.
Pooyan Moradifar, Jan Šaroch
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Some algebraic invariants of the edge ideals of perfect [h,d]-ary trees and some unicyclic graphs
AIMS Mathematics, 2023 This article is mainly concerned with computations of some algebraic invariants of quotient rings of edge ideals of perfect [h,d]-ary trees and unicyclic graphs. We compute exact values of depth and Stanley depth and consequently projective dimension for
Tazeen Ayesha, Muhammad Ishaq
doaj +1 more source
A universal scheme for robust self-testing in the prepare-and-measure scenario [PDF]
Quantum, 2021 We consider the problem of certification of arbitrary ensembles of pure states and projective measurements solely from the experimental statistics in the prepare-and-measure scenario assuming the upper bound on the dimension of the Hilbert space. To this
Nikolai Miklin, Michał Oszmaniec
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Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs [PDF]
Journal of Algebra and its Applications, 2019 In this paper, we provide some precise formulas for regularity of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs. For the projective dimension of such an edge ideal, we give its exact formula. Meanwhile, we
G. Zhu, Li Xu, Hong Wang, Jiaqi Zhang
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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
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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
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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
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Support varieties and modules of finite projective dimension for modular Lie superalgebras [PDF]
Algebra & Number Theory, 2019 We investigate cohomological support varieties for finite-dimensional Lie superalgebras defined over fields of odd characteristic. Verifying a conjecture from our previous work, we show the support variety of a finite-dimensional supermodule can be ...
C. Drupieski, J. Kujawa
semanticscholar +1 more source