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The jacobson and brown-mccoy radicals of rings graded by free groups

Communications in Algebra, 1991
The main aim of this paper is to show that the Jacobson and Brown-McCoy radicals of rings graded by free groups are homogeneous. As an application we get some information on the structure of the Jacobson radical of monomial rings. In particular we give a positive answer to a question posed in [12].
Jespers Eric, Edmund R. Punczylowski
exaly   +2 more sources

The Brown--McCoy radicals of a hemiring

Publicationes Mathematicae Debrecen, 2022
Let \(C\) denote the class of all additively commutative semirings and with each \(S\) in \(C\) associate a fined mapping \(F_S\) of \(C\) into the collection of all non-empty subsets of \(S\) subject to the following condition: If \(S\) and \(\Sigma\) are in \(C\), if \(\Phi\colon a\to \bar a\) is a homomorphism of \(S\) onto \(\Sigma\), and if \(F_S ...
openaire   +1 more source

A Note on the Jacobson And Brown-McCoy Radicals

Canadian Mathematical Bulletin, 1968
Let J(R) and G(R) respectively denote the Jacobson and Brown-McCoy radicals of the ring R and recall that R = G(R) if and only if R can not be homomorphically mapped onto a simple ring with unity [1, p. 120].In general one knows that J(R) ⊆ G(R) [1, p. 118], while there do exist rings R for which J(R) ≠ G(R) (see [1, p. 120]).
Anderson, T., Heinicke, A.
openaire   +1 more source

When are Ore extensions over nil rings Brown--McCoy radicals?

Publicationes Mathematicae Debrecen, 2021
Wagner Cortes, Edilson Soares Miranda
openaire   +1 more source

On maximal ideals and the brown-mccoy radical of polynomial rings

Communications in Algebra, 1998
Agata Smoktunowicz
exaly  

Differential rings and ore extensions: Brown-McCoy rings

Sociedade Brasileira De Matematica Boletim, Nova Serie, 1986
MIGUEL Ferrero
exaly  

On the brown-mccoy property for Г-rings

Communications in Algebra, 1996
Wang Dingguo
exaly  

BROWN-McCOY RADICALS FOR GENERAL NEAR-RINGS

Quaestiones Mathematicae, 2001
exaly  

A BROWN-McCOY RADICAL FOR T-RINGS

Quaestiones Mathematicae, 1984
exaly  

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