Results 271 to 280 of about 7,890,386 (291)

Projective dimension and regularity of edge ideals of some weighted oriented graphs

Rocky Mountain Journal of Mathematics, 2018
In this paper we provide some exact formulas for the projective dimension and the regularity of edge ideals associated to vertex weighted rooted forests and oriented cycles. As some consequences, we give some exact formulas for the depth of these ideals.
G. Zhu, Li Xu, Hong Wang, Zhongming Tang
semanticscholar   +1 more source

Projective dimension and regularity of 3-path ideals of unicyclic graphs

Graphs and Combinatorics
We compute the projective dimension and regularity of 3-path ideals of arbitrary trees and unicyclic graphs.
Nguyen Thu Hang, Thanh Vu
semanticscholar   +1 more source

Erasmus+ Project „DiMenSion“

2019
Against the backdrop of a generally increasing orientation towards exceptional customer experiences across businesses (cf. Pine/Gilmore 1999), marketing events have become an integral part of effective marketing communications. According to recent sector research, companies’ budgets for Live Communication have constantly risen in past years, and ...
Achim Kießig, Kenneth Hädecke
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Finite Phantom Projective Dimension

American Journal of Mathematics, 1994
A finitely generated \(R\)-module \(M\) is said to have a ``phantom resolution'' if there exists a complex of finitely generated projective \(R\)-modules \(P_ \bullet\) such that \(H_ 0 (P_ \bullet) = M\) and the module of cycles \(Z_ i (F^ e (P_ \bullet))\) is contained in the tight closure of the module of boundaries \(B_ i (F^ e (P_ \bullet))\) for ...
openaire   +2 more sources

Gorenstein projective dimensions of complexes

Acta Mathematica Sinica, English Series, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhong Kui, Zhang, Chun Xia
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Packing dimensions of projections and dimension profiles

Mathematical Proceedings of the Cambridge Philosophical Society, 1997
Let \(E\subset\mathbb{R}^n\) be an analytic set and \(\mu\in{\mathfrak M}^+_c(E)\) a finite Borel measure on \(E\) with compact support. For a real number \(s\) with \(0\leq s\leq n\) put \[ F^\mu_s(x,r)= \int_{\mathbb{R}^n}\min\{1,r^s|y-x|^{-s}\}d\mu(y).
Falconer, K. J., Howroyd, J. D.
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Filtering modules of finite projective dimension

Forum Mathematicum, 2003
For a right Artinian ring \(\Lambda\), denote by \(\text{Mod\,}\Lambda\) the category of all left \(\Lambda\)-modules. In the paper under review, the authors describe certain contravariantly finite resolving subcategories of \(\text{Mod\,}\Lambda\) which leads to some nice consequences as follows.
Krause, Henning, Solberg, Øyvind
openaire   +1 more source

Projective Dimension of Modules over Cluster-Tilted Algebras

, 2011
We study the projective dimension of finitely generated modules over cluster-tilted algebras End𝒞(T) where T is a cluster-tilting object in a cluster category 𝒞. It is well-known that all End𝒞(T)-modules are of the form Hom𝒞(T, M) for some object M in 𝒞,
Louis Beaudet, T. Brüstle, G. Todorov
semanticscholar   +1 more source

Dimension of Projections in Boolean Functions

SIAM Journal on Discrete Mathematics, 1998
The authors study monochromatic projections in 2-colorings of an \(n\)-dimensional Boolean cube and the related question about the dimension of the largest projection contained in a set specified by its density. Generalizing Boolean algebras, projections are defined as subsets of \(\{ 0,1 \}^n\) given by equations of the form \(x_i=x_j\), \(x_i ...
Paturi, Ramamohan, Zane, Francis
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Relative Projective and Injective Dimensions

Communications in Algebra, 2015
We study the concepts of the 𝒫C-projective and the ℐC-injective dimensions of a module in the noncommutative case, weakening the condition of C being semidualizing. We give the relations between these dimensions and the C-relative Gorenstein dimensions (GC-projective and GC-injective dimensions) of the module.
Driss Bennis, J. R. García Rozas, Luis Oyonarte   +2 more
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