Module categories without short cycles are of finite type

D Happel, SP Liu - Proceedings of the American Mathematical Society, 1994 - ams.org
… or injective module. Since TA is locally finite and contains only finitely many projective and
finitely many injective modules, we conclude that the union of all finite connected components …

[PDF][PDF] Additive categories of locally finite representation type

NV Dung, JL Garcı́a - Journal of Algebra, 2001 - core.ac.uk
… additive category A to be of locally finite representation type if every finitely presented object
of A is of finite endolength, … module category Mod T over some ring T, then we say that the …

[PDF][PDF] Pure semisimple categories and rings of finite representation type

D Simson - Journal of Algebra, 1977 - core.ac.uk
… pure semisimple category which has only finitely many isomorphism types of simple objects
is equivalent to the category of all left modules over a ring of finite representation type. We …

Tame module categories of finite-dimensional algebras

A Skowroński - Trends in Ring Theory, CMS Conf. Proc. 22, Amer …, 1998 - books.google.com
… It would be also interesting to know how to distinguish the representation types of A (finite
type, polynomial growth, tame, wild) by the behaviour of the connected components of TA in …

Cycles in module categories

A Skowroński - Finite dimensional algebras and related topics, 1994 - Springer
… We are also very much interested in the problem how to distinguish the representation types
of algebras A (finite type, domestic, polynomial growth, tame, wild) by properties of cycles in …

[图书][B] Divisor theory in module categories

L Nachbin, WV Vasconcelos - 2011 - books.google.com
… Heuristical 1y the divisor d (E) of an A-module E is the ideal of A packing the most … An
outstanding example is that found in the category T of finitely generated torsion modules of finite

[HTML][HTML] The category of F-modules has finite global dimension

L Ma - Journal of Algebra, 2014 - Elsevier
… has enough injectives, so that every F R -module has an injective resolution in this category.
… of finite type over an F-finite regular local ring, the category of F-modules has finite global …

On the existence of , -modules of finite type

I Penkov, V Serganova, G Zuckerman - 2004 - projecteuclid.org
… (g,k)-module M of finite type over k such that k coincides with … Gelfand introduced the notion
of a (g,k)-module with finite k-… k)-module with finite k-multiplicities which is not a (g,k )-module

Rings of finite representation type and modules of finite Morley rank

M Prest - Journal of algebra, 1984 - Elsevier
… This paper deals with rings whose modules have very pleasant decomposition properties: …
category of right modules over such a ring is, in many ways, similar to the category of modules

-supports for modules for finite group schemes

EM Friedlander, J Pevtsova - 2007 - projecteuclid.org
module category of finite-dimensional G-modules. Finally, using the stable module category
of … We do not give a special name for Spec H • (G, k), the scheme of finite type over k whose …