… Let R → S be a ring homomorphism. We consider the relationships of the Gorenstein
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes RHom R (S, X) …

… a commutative noetherian ring the three approaches to introducing depth for complexes: via
… to unbounded complexes. As a corollary we deduce: Given a local homomorphism Q → R, if …

… But then, by lemma 3, the right-hand member of (5) would be unbounded above. … any
homomorphism f of R into J and any s e R we define f, by f8(r) = f(rs) for all re R. A homomorphism …

… → S is a ring homomorphism such that every S-module of finite flat dimension is of finite
projective dimension over R via ϕ, X is an R-complex and U is an Scomplex with finite projective …

… Assume that the ring R $R$ is a generically Gorenstein ring. Let f : X → Y $f : X \rightarrow
Y$ be a chain homomorphism between complexes of finitely generated projective modules …

… : the dualizing complex for a local homomorphism . When G-… complex, closely paralleling
those of dualizing complexes for … In § 8 we study homomorphisms of noetherian rings all of …

… unbounded set [Kuc, Theorem 2, p. 360]. Consequently, we can choose a sequence (λn) of
complex … and the right side is not bounded, we arrive at a contradiction. Let {y1, ..., yn} be the …

… ring A, the units of A act by conjugation on A and hence on the set of ring homomorphisms
from any other ring to A… of the analogous conjugation action for Gamma-rings. For any Gamma…

… of unbounded complexes under Frobenius extensions are studied. Let R ⊂ S be a
Frobenius extension of rings. … , then it follows from [Citation24] that θ is split as an S-homomorphism. …

… ring homomorphism and P a homologically finite S-complex with fd R (P) finite and such
that ϕ∗(Supp S (P)) contains m-Spec(R). For each homologically degree-wise finite R-complex …