Fuzzy prime ideals in -rings.
Galois coverings and splitting properties of the ideal generated by halflines
Given a locally bounded k-category R and a group acting freely on R we study the properties of the ideal generated by a class of indecomposable locally finite-dimensional modules called halflines (Theorem 3.3). They are applied to prove that under certain circumstances the Galois covering reduction to stabilizers, for the Galois covering F: R → R/G, is strictly full (Theorems 1.5 and 4.2).
Galois coverings, Morita equivalence and smash extensions of categories over a field.
Galois coverings of representation-infinite algebras.
Gaussian and Prüfer conditions in bi-amalgamated algebras
Let and be two ring homomorphisms and let and be ideals of and , respectively, such that . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of with along with respect to (denoted by introduced and studied by S. Kabbaj, K. Louartiti and M. Tamekkante in 2013. Our results recover well known results on amalgamations in C. A. Finocchiaro (2014) and generate new original examples of rings possessing these properties.
Gelfand-Kirillov dimension in some crossed products.
Generalizations of coatomic modules
For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if, whenever N+X=M with M/X singular, we have X=M. Let ℘ be the class of all singular simple modules. Then δ(M)=Σ{ L≤ M| L is a δ-small submodule of M} = Re jm(℘)=∩{ N⊂ M: M/N∈℘. We call M δ-coatomic module whenever N≤ M and M/N=δ(M/N) then M/N=0. And R is called right (left) δ-coatomic ring if the right (left) R-module R R(RR) is δ-coatomic. In this note, we study δ-coatomic modules and ring. We prove M=⊕i=1n Mi...
Generalizations of Hopfian and co-Hopfian modules.
Generalizations of principally quasi-injective modules and quasiprincipally injective modules.
Generalized flatness and coherence
Generalized injectivity
Generalized lifting modules.
Generalized Morita equivalence for linearly topologized rings
Generalized -coherence
In this paper necessary and sufficient conditions for large subdirect products of -flat modules from the category to be -flat are given.
Generalized one-point extensions.
Generalized periodic and generalized Boolean rings.
Generalized periodic rings.
Generalized primary rings and ideals.
Generalized projectivity
Generalized projectivity. II.