From n-exangulated categories to n-abelian categories

@article{Liu2020FromNC,
  title={From n-exangulated categories to n-abelian categories},
  author={Yu Liu and Panyue Zhou},
  journal={arXiv: Representation Theory},
  year={2020}
}
1 Citations

From right (n+2)-angulated categories to n-exangulated categories

The notion of right semi-equivalence in a right (n+ 2)-angulated category is defined in this article. Let C be an n-exangulated category and X is a strongly covariantly finite subcategory of C . We

References

SHOWING 1-10 OF 31 REFERENCES

Frobenius n-exangulated categories

n-Abelian quotient categories

n-Abelian and n-exact categories

We introduce n-abelian and n-exact categories, these are analogs of abelian and exact categories from the point of view of higher homological algebra. We show that n-cluster-tilting subcategories of

The axioms for n–angulated categories

We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Op- permann in (2). In particular, we introduce a higher "octahedral axiom", and show that it is equivalent

CLUSTER-TILTING SUBCATEGORIES IN EXTRIANGULATED CATEGORIES

Let (C ,E, s) be an extriangulated category. We show that certain quotient categories of extriangulated categories are equivalent to module categories by some restriction of functor E, and in some

n-angulated categories

Abstract We define n-angulated categories by modifying the axioms of triangulated categories in a natural way. We show that Heller's parametrization of pre-triangulations extends to