In the last years (Gorenstein) homological dimensions relative to a semidualizing module C
have been subject of several works as interesting extensions of (Gorenstein) homological …

Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

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Let (R, m) be a commutative Noetherian local ring of Krull dimension d, and let C be a
semidualizing R-module. In this paper, it is shown that if R is complete, then C is a dualizing …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

Let (R, m) be a local ring, and let C be a semidualizing R-module. In this paper, we are
concerned with the C-injective and GC-injective dimensions of certain local cohomology …

Let $(R,\mathfrak {m}) $ be a commutative Noetherian local ring, $\mathfrak {a} $ be a
proper ideal of $ R $ and $ M $ be an $ R $-complex in $\mathrm {D}(R) $. We prove that if …

arXiv:1404.3982v1 [math.AC] 15 Apr 2014 Page 1 arXiv:1404.3982v1 [math.AC] 15 Apr
2014 ON (GORENSTEIN) INJECTIVE AND (GORENSTEIN) FLAT DIMENSIONS OF RIGHT …