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Displaying 281 – 300 of 1161

Galois coverings, Morita equivalence and smash extensions of categories over a field.

Cibils, Claude, Solotar, Andrea (2006)

Documenta Mathematica

Galois coverings of representation-infinite algebras.

Andrzej Skowronski, Piotr Dowbor (1987)

Commentarii mathematici Helvetici

Gaussian and Prüfer conditions in bi-amalgamated algebras

Najib Mahdou, Moutu Abdou Salam Moutui (2020)

Czechoslovak Mathematical Journal

Let $f : A \to B$ and $g : A \to C$ be two ring homomorphisms and let $J$ and $J^{'}$ be ideals of $B$ and $C$ , respectively, such that $f^{- 1} (J) = g^{- 1} (J^{'})$ . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of $A$ with $(B, C)$ along $(J, J^{'})$ with respect to $(f, g)$ (denoted by $A ⋈^{f, g} (J, J^{'})),$ 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.

Guédénon, Thomas (2002)

Beiträge zur Algebra und Geometrie

Generalizations of coatomic modules

M. Koşan, Abdullah Harmanci (2005)

Open Mathematics

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...

In this paper necessary and sufficient conditions for large subdirect products of $n$ -flat modules from the category $G e n (Q)$ to be $n$ -flat are given.