5 citations · 9 across the 6 of their papers we have counts for
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A tight closure approach to a result of G. Faltings
Tirdad Sharif
Using a result of M. Hochster and C. Huneke on -rational rings a criterion for complete intersection rings of characteristic is presented. As an application, we give a com…
AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We investigate the properties of categories of G_C-flat R-modules where C is a semidualizing module over a commutative noetherian ring R. We prove that the category of all G_C-flat…
Homological flat dimensions
Parviz Sahandi, Tirdad Sharif, Siamak Yassemi
For finitely generated module over a local ring , the conventional notions of complete intersection dimension $\cid_R M$ and Cohen-Macaulay dimension $\cmdim_R M$ do not ext…
Comparison of relative cohomology theories with respect to semidualizing modules
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We compare and contrast various relative cohomology theories that arise from resolutions involving semidualizing modules. We prove a general balance result for relative cohomology…
Special homological dimensions and Intersection Theorem
Tirdad Sharif, Siamak Yassemi
Let $(R,\fm)$ be commutative Noetherian local ring. It is shown that is Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely generated) --module with…