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math.AC2002
Gorenstein Dimensions under Base Change
Leila Khatami, Siamak Yassemi
The so-called 'change-of-ring' results are well-known expressions which present several connections between projective, injective and flat dimensions over the various base rings. I…
math.AC2002
Tensor Products of Some Special Rings
Masoud Tousi, Siamak Yassemi
In this paper we solve a problem, originally raised by Grothendieck, on the properties, i.e. Complete intersection, Gorenstein, Cohen--Macaulay, that are conserved under tensor pro…
math.AC2002
Cohen--Macaulayness of tensor products
Leila Khatami, Siamak Yassemi
Let $(R,\fm)$ be a commutative Noetherian local ring. Suppose that and are finitely generated modules over such that has finite projective dimension and such that $…