Results 81 to 90 of about 6,262,439 (184)
Higher Derivations and Local Cohomology Modules
Journal of Algebra, 1998 In the present paper, the author studies local cohomology modules of a regular local ring \(R\) with respect to a non-maximal ideal. \textit{C. I. Huneke} and \textit{R. Y. Sharp} [Trans. Am. Math. Soc. 339, No. 2, 765-779 (1993; Zbl 0785.13005)] and \textit{G. Lyubeznik} [Invent. Math. 113, No. 1, 41-55 (1993; Zbl 0795.13004)] studied such modules if \
openaire +2 more sources
Cpn$C_{p^n}$‐equivariant Mahowald invariants
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
wiley +1 more source
Artinianness of local cohomology modules
, 2014 Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.
Melkersson, Leif, +1 more
core +1 more source
$p$-torsion elements in local cohomology modules [PDF]
Mathematical Research Letters, 2000 We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime ideals. We also answer a related question of Hochster.
openaire +2 more sources
de Rham cohomology of local cohomology modules: The graded case [PDF]
Nagoya Mathematical Journal, 2015 Abstract Let K be a field of characteristic zero, and let R = K[X1,… ,Xn]. Let An(K) = K⟨X1,… ,Xn,∂1,… ,∂n⟩ be the nth Weyl algebra over K. We consider the case when R and An(K) are graded by giving deg Xi = ωi and deg ∂i = –ωi for i = 1,…,n (here ωi are positive integers). Set . Let I be a graded ideal in R.
openaire +4 more sources
Generalized Local Homology Modules of Complexes
پژوهشهای ریاضی, 2017 The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj
On the annihilation of local cohomology modules
Kyoto Journal of Mathematics, 2006 Let $R$ be a (not necessary finite dimensional) commutative noetherian ring and let $C$ be a semi-dualizing module over $R$. There is a generalized Gorenstein dimension with respect to $C$, namely $\mathrm{G}_{C}$-dimension, sharing the nice properties of Auslander’s Gorenstein dimension.
Asadollahi, Javad, Salarian, Shokrollah
openaire +2 more sources
Bott-Chern cohomology of solvmanifolds [PDF]
, 2012 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology.
Daniele Angella +3 more
core
Endotrivial modules for finite groups of Lie type. [PDF]
, 2006 We classify the endotrivial modules for all finite groups of Lie type in defining ...
Mazza, Nadia +2 more
core +2 more sources
Gorenstein Injective Dimension and Cohen-Macaulayness
پژوهشهای ریاضی, 2019 Throughout this paper, (R, m) is a commutative Noetherian local ring with the maximal ideal m. The following conjecture proposed by Bass [1], has been proved by Peskin and Szpiro [2] for almost all rings: (B) If R admits a finitely generated R ...
Reza Sazeedeh, fatemeh Savoji
doaj