[PDF][PDF] Relative theory in subcategories
SK Mohamed - Colloq. Math, 2009 - Citeseer
We generalize the relative (co) tilting theory of Auslander-Solberg [9, 10] in the category mod
Λ of finitely generated left modules over an artin algebra Λ to certain subcategories of mod …
Λ of finitely generated left modules over an artin algebra Λ to certain subcategories of mod …
[PDF][PDF] Applications of contravariantly finite subcategories
M Auslander, I Reiten - Advances in Mathematics, 1991 - core.ac.uk
Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …
Partial tilting modules and covariantly finite subcategories
D Happel, L Unger - Communications in Algebra, 1994 - Taylor & Francis
Let h be an Artin algebra. The. I-modules\vliich we consider arc always left nlodules of finite
length. The category of (finite length):\-modules is denoted by, I-mod. A module,\, M is called …
length. The category of (finite length):\-modules is denoted by, I-mod. A module,\, M is called …
Homologically finite subcategories
M Auslander, I Reiten - Representations of algebras and related …, 1992 - cambridge.org
Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …
[PDF][PDF] On contravariantly finite subcategories
CM Ringel - Proceedings of the Sixth Inter. Confer. on …, 1992 - math.uni-bielefeld.de
ON CONTRAVARIANTLY FINITE SUBCATEGORIES Claus Michael Ringel Abstract. Let A be an
artin algebra. Let / 1, /2 be contravari- ant Page 1 ON CONTRAVARIANTLY FINITE …
artin algebra. Let / 1, /2 be contravari- ant Page 1 ON CONTRAVARIANTLY FINITE …
Left triangulated categories arising from contravariantly finite subcategories
A Beligiannis, N Marmaridis - Communications in algebra, 1994 - Taylor & Francis
Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …
Relative global dimension and extension subcategories
JY Guo, SA Sikko - Canad. Math. Soc. Conf. Proc. 18, Amer. Math …, 1996 - books.google.com
Let A be an artin algebra. We denote by mod A the category of finitely generated left A-
modules. By a subcategory of mod A we always mean a full subcategory closed under …
modules. By a subcategory of mod A we always mean a full subcategory closed under …
Recollements and tilting modules
X Ma, T Zhao - Communications in Algebra, 2020 - Taylor & Francis
Let (mod Λ′, mod Λ, mod Λ ″) be a recollement of module categories for artin algebras
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …
[HTML][HTML] Classifying exact categories via Wakamatsu tilting
H Enomoto - Journal of Algebra, 2017 - Elsevier
Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …
has a realization as a (pre) resolving subcategory of a module category. When the exact …
Tilting theory and functor categories III. The Maps Category
R Martínez-Villa, M Ortiz-Morales - arXiv preprint arXiv:1101.4241, 2011 - arxiv.org
In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …