Results 11 to 20 of about 1,065 (101)

On G-finitistic spaces and related notions

International Journal of Mathematics and Mathematical Sciences, 1992
Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where
Satya Deo, Janak Singh Andotra
doaj   +2 more sources

Left–right symmetry of finite finitistic dimension

Bulletin of the London Mathematical Society, 2023
AbstractWe show that the finitistic dimension conjecture for finite‐dimensional algebras is equivalent to the left–right symmetry of finite finitistic dimension for finite‐dimensional algebras. We also prove the equivalent statement for injective generation.
Charley Cummings
openaire   +3 more sources

On certain constactions in finitistic spaces

International Journal of Mathematics and Mathematical Sciences, 1983
Since the product of two finitistic spaces need not be finitistic, and also because a continuous closed image of a finitistic space need not be finitistic, it is natural to enquire whether or not the class of finitistic spaces in closed under the ...
Satya Deo, Mohan Singh
doaj   +2 more sources

The Weak (Gorenstein) Global Dimension of Coherent Rings with Finite Small Finitistic Projective Dimension

Journal of Mathematics
The small finitistic dimension of a ring is determined as the supremum projective dimensions among modules with finite projective resolutions. This paper seeks to establish that, for a coherent ring R with a finite weak (resp.
Khaled Alhazmy, Fuad Ali Ahmed Almahdi, Younes El Haddaoui, Najib Mahdou   +3 more
doaj   +2 more sources

Direct simplicial dynamics: Simulations in biomechanics

Engineering Reports, Volume 4, Issue 1, January 2022., 2022
We develop a method for calculating mechanics of surfaces, and of bodies with surfaces, directly with the geometric discretization of such bodies into triangles and tetrahedra (simplices), rather than discretizing the partial differential equations of continuum mechanics in either finite element or finite difference approximations.
Raghu Raghavan, Martin L. Brady
wiley   +1 more source

Reduction techniques for the finitistic dimension [PDF]

Transactions of the American Mathematical Society, 2021
In this paper we develop new reduction techniques for testing the finiteness of the finitistic dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a quotient of a path algebra, we propose two operations on the quiver of the algebra, namely arrow removal and vertex removal.
Green, Edward L., Psaroudakis, Chrysostomos, Solberg, Øyvind   +2 more
openaire   +2 more sources

THE SMALL FINITISTIC DIMENSIONS OF COMMUTATIVE RINGS

Journal of Commutative Algebra, 2023
Let $R$ be a commutative ring with identity. The small finitistic dimension $\fPD(R)$ of $R$ is defined to be the supremum of projective dimensions of $R$-modules with finite projective resolutions. In this paper, we characterize a ring $R$ with $\fPD(R)\leq n$ using finitely generated semi-regular ideals, tilting modules, cotilting modules of cofinite
Zhang, Xiaolei, Wang, Fanggui
openaire   +2 more sources

Totally acyclic complexes [PDF]

, 2016
For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of exact complexes $X$ having all cycles in $\A$, and by $dw(\A)$ the class of complexes $Y$ with all components $Y_j$ in $\A$.
Alina Iacob, Bass, Bennis, Bennis, Benson, Bravo, Christensen, Christensen, Enochs, Enochs, Enochs, Enochs, Enochs, Enochs, Estrada, Fossum, Gillespie, Holm, Huang, Iacob, Iacob, Iwanaga, Iwanaga, Iyengar, Krause, Murfet, Neeman, Sergio Estrada, Xianhui Fu, Yan, Yang, Yang   +31 more
core   +3 more sources

Finitistic dimensions of noetherian rings

Journal of Algebra, 1992
Let \(R\) be a ring and let \(pd(_ R M)\) [resp. \(pd(M_ R)\)] denote the projective dimension of the left [resp. right] \(R\)-module \(M\). The left finitistic dimensions of \(R\) are defined as follows: \(\ell FPD(R)=\sup\{pd(_ R M)\): \(pd(_ R M)
Kirkman, E, Kuzmanovich, J, Small, L
openaire   +1 more source

Finitistic Homological Dimensions Relative to Subcategories [PDF]

Mathematics, 2020
Let C⊆T be subcategories of an abelian category A. Under some certain conditions, we show that the C-finitistic and T-finitistic global dimensions of A are identical. Some applications are given; in particular, some known results are obtained as corollaries.
Huang, Yuntao, Wu, Xia, Song, Weiling
openaire   +2 more sources