Volume no :22, Issue no: 1, March (2020)

Journal of Algebra, Number Theory: Advances and Applications

GENERALIZED CLUSTER TILTING OF n-ABELIAN CATEGORIES

Author's: Deren Luo, Zhe Li and Dalong Yang
Pages: [1] - [16]
Received Date: February 11, 2020; Revised March 7, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122117

Abstract

In this paper, we study the tilting subcategories of n-abelian categories as a generalization of m-cluster tilting subcategories of abelian categories and prove that the subcategories of certain n-abelian categories are mn-abelian categories.

Keywords

n-abelian category, n-derived functor, cluster tilting.