Torsion pairs in recollements of abelian categories
Sign Up to like & getrecommendations! Published in 2017 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-018-0712-1
Abstract: For a recollement (A,B, C) of abelian categories, we show that torsion pairs in A and C can induce torsion pairs in B; and the converse holds true under certain conditions. read more here.
Keywords: abelian categories; recollements abelian; torsion; torsion pairs ... See more keywords
Resolving resolution dimension of recollements of abelian categories
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821501796
Abstract: In this paper, we investigate the resolving resolution dimension with respect to the recollements of abelian categories. Let (????,ℬ,????) be a recollement of abelian categories such that ℬ and ???? have en... read more here.
Keywords: resolving resolution; abelian categories; resolution dimension; recollements abelian ... See more keywords