[PDF][PDF] Artin algebras of dominant dimension at least 2

CM Ringel - preprint manuscript Selected Topics CMR, 2007 - math.uni-bielefeld.de
… the left module Be and the right module fB both are faithful and injective. The functor
HomfBf (fB, −) sends modfBf onto the full category of left Bmodules which have a Be-copresentation. …

Finitistic n-Self-Cotilting Modules

S Breaz - Communications in Algebra®, 2009 - Taylor & Francis
… We say that an R-module L is n-finitely Q-copresented … The class of all n-finitely Q-copresented
modules is denoted by n-cop(Q). … → N → 0, and using the dimension shifting formula we …

n-Super finitely copresented and n-weak projective modules

M Amini - Journal of Algebra and Related Topics, 2022 - jart.guilan.ac.ir
… left modules. Then, we introduce the concept of n-weak projective right modules by using
n-super finitely copresented right modules… We also define the finitely presented dimension of R (…

On the abundance of silting modules

LA Hügel - Surveys in Representation Theory of Algebras” …, 2018 - books.google.com
… with respect to an epimorphic injective copresentation E0 ω ie C is a cotilting module↠ E
1 (of injective if and only if CogenC dimension at most one,= Ker not Ext necessarily 1A (-, C), …

[PDF][PDF] Covers, envelopes and cotorsion theories

J Trlifaj - Lecture notes, Cortona workshop, 2000 - matematika.cuni.cz
… We also construct approximations by modules of finite homological dimensions in the spirit
… Dually, we define the classes of all modules cogenerated and copresented by M, Cogen(M) …

Contravariant functors on the category of finitely presented modules

I Herzog - Israel journal of mathematics, 2008 - Springer
… Ab) of a functor F on the stable category and its minimal injective copresentation in ((R-mod) …
left R-module M has finite elementary Krull dimension n, then its pure-injective dimension is …

[PDF][PDF] Equivalence between colocalization and localization in abelian categories with applications to the theory of modules

K Ohtake - Journal of Algebra, 1982 - core.ac.uk
… a duality between the category of V,copresented and finitely V,-cogenerated module and
the category of finitely generated and sV-cogenerated left S-modules (cf. Lambek and Rattray [ …

[PDF][PDF] INFINITE DIMENSIONAL REPRESENTATIONS

LA HÜGEL - imsc.uni-graz.at
… Then we focus on silting modules, the modules that occur as zero cohomologies of 2-term …
silting modules. To this end, we first recall some notions and results from infinite dimensional

Homological algebra of modules over posets

E Miller - arXiv preprint arXiv:2008.00063, 2020 - arxiv.org
module M should be pulled back from a P-module along a poset morphism Q → P in which P
is a finite poset and the P-module has finite dimension … A downset copresentation of M is an …

Dominant dimensions, derived equivalences and tilting modules

H Chen, C Xi - Israel Journal of Mathematics, 2016 - Springer
… -BB-tilting modules and canonical tilting modules are also given. In order to describe lower
bounds for dominant dimensions of the endomorphism algebras of tilting modules, the notion …