Let $ n $ be a non-negative integer. An exact category $\C $ is said to be an $ n $-Frobenius
category, provided that it has enough $ n $-projectives and $ n $-injectives and the $ n …

Let $\Ascr,\Bscr $ be exact categories with $\Ascr $ karoubian and $ M $ be an exact functor.
Under suitable adjonction hypotheses for $ M $, we are able to show that the direct factors of …

As shown by Happel, from any Frobenius exact category, we can construct a triangulated
category as a stable category. On the other hand, it was shown by Iyama and Yoshino that if …

For a Frobenius abelian category $\mathcal {A} $, we show that the category ${\rm
Mon}(\mathcal {A}) $ of monomorphisms in $\mathcal {A} $ is a Frobenius exact category; …

For a composition-closed and pullback-stable class S of morphisms in a category C
containing all isomorphisms, we form the category Span (C, S) of S-spans (s, f) in C with first" …

For a composition-closed and pullback-stable class S of morphisms in a category C
containing all isomorphisms, we form the category Span (C, S) of S-spans (s, f) in C with first …

This paper consists of three results on Frobenius categories:(1) we give sufficient conditions
on when a factor category of a Frobenius category is still a Frobenius category;(2) we show …

A well-known theorem of Buchweitz provides equivalences between three categories: the
stable category of Gorenstein projective modules over a Gorenstein algebra, the homotopy …

We construct a left adjoint $\mathcal {H}^\text {st}\colon\mathbf {Ex} _ {\infty}\rightarrow\
mathbf {St} _ {\infty} $ to the inclusion $\mathbf {St} _ {\infty}\hookrightarrow\mathbf {Ex} …

We define extension $\infty $-categories for exact $\infty $-categories in terms of bifibrations.
Extension $\infty $-categories are invariant when passing to the stable hull, and …