[PDF][PDF] On the global dimension of the functor category (mod R, Ab)
CU Jensen - Journal of Pure and Applied Algebra, 1977 - core.ac.uk
In various questions in ring theory the followin tegory turns out to be useful (cf.[3-S]). For an
arbitrary ring R let mod R be the category of finitely presented right R-modules (viewed as a …
arbitrary ring R let mod R be the category of finitely presented right R-modules (viewed as a …
[PDF][PDF] Morita duality for Grothendieck categories
PN Anh, R Wiegandt - Journal of Algebra, 1994 - academia.edu
The considerable number of papers by various authors dealing with Morita duality of module
categories, makes it obvious that the theory of Morita duality can be treated purely on a …
categories, makes it obvious that the theory of Morita duality can be treated purely on a …
[PDF][PDF] Weak Rickart and dual weak Rickart objects in abelian categories: transfer via functors
Weak relative Rickart objects generalize relative Rickart objects in abelian categories. We
study how such a property is preserved or reflected by fully faithful functors and adjoint pairs …
study how such a property is preserved or reflected by fully faithful functors and adjoint pairs …
[引用][C] Shape invariant functors: Application in module-theory
A Frei, H Kleisli - Mathematische Zeitschrift, 1978 - Springer
The purpose of this paper is twofold: on the one hand we give criteria, in a categorical
context, for a shape-invariant functor to be a Kan extension; on the other hand we apply our …
context, for a shape-invariant functor to be a Kan extension; on the other hand we apply our …
[图书][B] Functors between categories of modules
ER Willard - 1964 - search.proquest.com
The notions of Category and Punotor lead naturally to the following question. Given a ring A,
can one char acterize those rings B with the property that there ex*-ists a covariant functor …
can one char acterize those rings B with the property that there ex*-ists a covariant functor …
𝑇-faithful subcategories and localization
JA Beachy - Transactions of the American Mathematical Society, 1974 - ams.org
For any additive functor from a category of modules into an abelian category there is a
largest Giraud subcategory for which the functor acts faithfully on homomorphisms into the …
largest Giraud subcategory for which the functor acts faithfully on homomorphisms into the …
On a question concerning locally Artinian categories
C Menini - Communications in Algebra, 1987 - Taylor & Francis
([N~], Corollaire 1.3). In fact f is equivalent to the category of right modules over a right
artinian ring ([N~], ThEorSme 3.3) and thus the Hopkins-Levitzki theorem in a Grothendieck …
artinian ring ([N~], ThEorSme 3.3) and thus the Hopkins-Levitzki theorem in a Grothendieck …
On a class of lineary compact rings
E Gregorio - Communications in Algebra, 1991 - Taylor & Francis
Let A be a Grothendieck category with an artinian generator, that is a generator satisfying
the descending chain condition on subobjects. C. NLstL-sescu [lo] proved that A is …
the descending chain condition on subobjects. C. NLstL-sescu [lo] proved that A is …
Non-abelian full embedding; Announcement of results
M André, M Barr, M Bunge, A Frei, JW Gray… - Reports of the Midwest …, 1971 - Springer
Theorem 1. Let be a small abelian category. Then there is a full, faithful, exact functor Mod-
R, the category of right R-modules. It has long seemed to me that this theorem should be the …
R, the category of right R-modules. It has long seemed to me that this theorem should be the …
Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects
We show how the theory of (dual) strongly relative Rickart objects may be employed in order
to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian …
to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian …