On the two categories of modules
M Popescu, P Popescu - Symmetry, 2022 - mdpi.com
A new category equivalence is proved in this paper, involving the two distinct categories of
modules, the covariant and the contravariant, respectively, released by Higgins and …
modules, the covariant and the contravariant, respectively, released by Higgins and …
Virtual extensions of modules
S Gekas - arXiv preprint arXiv:1609.07974, 2016 - arxiv.org
In this article we are examining extensions and some basic diagrammatic properties of
modules, in both cases from a new," virtual" point of view. As natural background for …
modules, in both cases from a new," virtual" point of view. As natural background for …
An equivalence criterion for the generalized injectivity of modules with respect to algebraic classes of homomorphisms
JE Macías-Díaz, S Macías - Journal of Algebra and Its Applications, 2016 - World Scientific
Departing from a general definition of injectivity of modules with respect to suitable algebraic
classes of morphisms, we establish conditions under which two modules are isomorphic …
classes of morphisms, we establish conditions under which two modules are isomorphic …
Static modules and equivalences
R Wisbauer - LECTURE NOTES IN PURE AND APPLIED …, 2000 - books.google.com
By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …
[PDF][PDF] Some remarks on representable equivalences
G d'Este - Banach Center Publications, 1990 - infona.pl
In a recent paper, Menini and Orsatti obtained a theorem ([4], Representation Theorem 3.1)
between categories of modules which extends Fuller's theorem ([1], Theorem 1.1) to a more …
between categories of modules which extends Fuller's theorem ([1], Theorem 1.1) to a more …
Adjoint functors and equivalences of subcategories
FC Iglesias, J Gómez-Torrecillas, R Wisbauer - Bulletin des sciences …, 2003 - Elsevier
For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …
Equivalenze rappresentabili tra categorie di moduli
A Orsatti - Rendiconti del Seminario Matematico e Fisico di …, 1990 - Springer
In this paper we expose some recent results (see References) on equivalences between
categories of modules. Let A e R be two rings, DA and GR subcategories of Mod-A and Mod …
categories of modules. Let A e R be two rings, DA and GR subcategories of Mod-A and Mod …
(n, t)-Quasi-Projective and Equivalences
J Wei - Communications in Algebra®, 2005 - Taylor & Francis
Full article: (n, t)-Quasi-Projective and Equivalences Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Triangulated structures for projective modules
B Dimitrova - arXiv preprint arXiv:0912.4708, 2009 - arxiv.org
We give a characterisation of those local not necessary commutative rings, for which the
category of projective modules admits a triangulation with the identity as translation functor …
category of projective modules admits a triangulation with the identity as translation functor …
The bijection between projective indecomposable and simple modules
T Leinster - Bulletin of the Belgian Mathematical Society-Simon …, 2015 - projecteuclid.org
For modules over a finite-dimensional algebra, there is a canonical one-to-one
correspondence between the projective indecomposable modules and the simple modules …
correspondence between the projective indecomposable modules and the simple modules …