Gabriel-Quillen embedding for $n$-exact categories

Abstract

Our first aim is to provide an analog of the Gabriel-Quillen embedding theorem for $n$-exact categories. Also we give an example of an $n$-exact category that is not an $n$-cluster tilting subcategory, and we suggest two possible ways for realizing $n$-exact categories as $n$-cluster tilting subcategory.

11 pages, v3: author accepted manuscript, to appear in Communications in Algebra, Proposition 3.8 (proving that H detects n-exact sequences) has been added

References in corpus (1)

• Higher Auslander's formula