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Article in Journal On the stability of radical septic functional equations Previous Article in Journal …

The homological dimension theory of small categories was founded by Mitchell in 1968–
1982. It is concerned with the vanishing conditions for the derived functors of the limit. It …

On classes defining a homological dimension Introduction Page 1 Models, Modules and
Abelian Groups, 431–444 © de Gruyter 2008 On classes defining a homological dimension …

Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …

Let (A, B, C) be a recollement of extriangulated categories. In this paper we introduce the
global dimension and extension dimension of extriangulated categories, and give some …

Let A be an abelian category, C an additive, full and self-orthogonal subcategory of A closed
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …

It is shown that if A is an object in an exactly definable category CC such that A has finite
pure Goldie dimension and that every pure monomorphism A → AA→ A is an isomorphism …

We introduce relative preresolving subcategories and precoresolving subcategories of an
abelian category and define homological dimensions and codimensions relative to these …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2017, Vol. 33, No. 11, pp. 1513–1535 Published online: July 15, 2017 https://doi.org/10.1007/s10114-017-6416-8 …

We investigate the behavior of the homological dimensions under recollements of derived
categories of algebras. In particular, we establish a series of new bounds among the self …