… functor HomR( ,P) for any projective module P. The modules of finite Gorenstein projective
dimension … related to Gorenstein homological algebra in module categories and the theory of …

… global dimension of exact categories. Later, we give some bounds for global dimension of
the categories … Dually, we define the left exact functor between two extriangulated categories. …

… that any faithful Frobenius functor between abelian categories preserves the Gorenstein
projective dimension … on when a Frobenius functor preserves the stable categories of Gorenstein …

… This book is devoted to representations of associative algebras and their homological theory.
… representations with appropriate functors; this leads to the study of functor categories. We …

… category A. If A = PR and k is an infinite perfect field, our results show that functor homology
is … Namely, we use it to obtain some explicit computations of functor homology, and we prove …

… give some characterizations of \(\xi \)-\({\mathcal {G}}\)projective dimension by using derived
functors … Consequently, we show that the following equality holds under some assumptions: …

… on the category Q,AMod of additive functors from a preadditive category Q satisfying certain
… object (which is a functor) in C,AMod has a certain special homological property, so does its …

… natural forgetful functor. We prove that the functor Υ induces a fully faithful triangulated
functor on bounded (below) derived categories if and only if the functor Θ induces a fully faithful …

… then can be characterised intrinsically inside certain derived categories. On the way, a …
write 𝒢 ∘ ℱ for the composition of two functors ℱ : 𝒞 → 𝒟 and 𝒢 : 𝒟 → ℰ between additive …

… functor between n-exact categories is an n-exangulated functor if and only if it is an n-exact
functor… definition for an n-exact functor in §2.2 and an n-exangulated functor in §2.3. Moreover…