We give a full classification of representation types of the subcategories of representations of
an m× n rectangular grid with monomorphisms (dually, epimorphisms) in one or both …

Given any Grothendieck category G, we study the notion of a tilting object of G, proving some
basic facts of tilting theory in this general setting. Our results apply, for instance, to …

It is well known that tilting modules of projective dimension⩽ 1 coincide with∗-modules
generating all injectives. This result is extended in this paper. Namely, we generalize∗ …

Tilting via torsion pairs and almost hereditary noetherian rings Page 1 Journal of Pure and
Applied Algebra 215 (2011) 2072–2085 Contents lists available at ScienceDirect Journal of …

*- Modules over ring extensions Page 1 COMMUNICATIONS IN ALGEBRA, 25(9), 2839-2860
(1997) *-Modules over Ring Extensions Kent R. Fuller Department of Mathematics University of …

1.1. Generalities. The present work deals with the following problem. Let R be an associative
ring, and Mod-R the category of all right R-modules. Given a torsion pair (X, Y) in Mod-R …

Given any (faithful) quasi-progenerator RP, with endomorphism ring A End (RP), and any
tilting module AT, we prove that the module RV= RP AT is a (faithful)*-module, which is …

We show that, if T is a selfsmall and selforthogonal module over a noetherian ring R of finite
global dimension with the endomorphism ring A, then fdTA⩽ gdA⩽ idRT+ fdTA. Applying the …

I met Adalberto for the first time in November 1972: I was a first year student in Mathematics
and he was my Algebra Professor. I do remember those tough days pretty well: the word …

In Enochs' relative homological dimension theory occur the (co) resolvent and (co) proper
dimensions, which are defined by proper and coproper resolutions constructed by precovers …