Homological dimensions relative to preresolving subcategories II
Z Huang - Forum Mathematicum, 2022 - degruyter.com
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 …
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …
Homological dimensions relative to preresolving subcategories
Z Huang - 2014 - projecteuclid.org
We introduce relative preresolving subcategories and precoresolving subcategories of an
abelian category and define homological dimensions and codimensions relative to these …
abelian category and define homological dimensions and codimensions relative to these …
How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings
Y Ma, J Lü, H Li, J Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
Let Δ= AANBBMAB be a Morita ring with M⊗ AN= 0= N⊗ BM. We first study how to construct
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B …
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B …
Homological dimensions relative to special subcategories
W Song, T Zhao, Z Huang - Algebra Colloquium, 2021 - World Scientific
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 …
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …