8 citations · 23 across the 12 of their papers we have counts for
5 papers · 1 filter
The Double Jones Birefringence in Magneto-electric Medium
Waqas Mahmood, Qing Zhao
In this paper, the Maxwell's equations for the tensorial magneto-electric (ME) medium have been solved which in fact is the extension of anisotropic nonmagnetic medium. All of the…
Cohomologically complete intersections with vanishing of Betti numbers
Waqas Mahmood
Let be ideal of an -dimensional local Gorenstein ring . In this paper we will describe several necessary and sufficient conditions such that the ideal becomes cohomol…
On natural homomorphisms of local cohomology modules
Waqas Mahmood
Let be a non-zero finitely generated module over a finite dimensional commutative Noetherian local ring with dim. Let be an ideal of with gr…
A Note on Endomorphisms of Local Cohomology Modules
Waqas Mahmood, Zohaib Zahid
Let denote an ideal of a local ring of dimension . Let denote a finitely generated -module. We study the endomorphism ring of the local cohomology…
On Cohomologically Complete Intersections in Cohen-Macaulay Rings
Waqas Mahmood
An ideal I of a local Cohen-Macaulay ring R is called a cohomologically complete intersection if H^i_I(R) = 0 for all i \neq c = height(I). Here H^i_I(R), i \in Z denotes the local…