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The jacobson and brown-mccoy radicals of rings graded by free groups
Communications in Algebra, 1991The 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
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The Brown-Mccoy Radical of Certain Group Algebras
Journal of the London Mathematical Society, 1973exaly +3 more sources
The Brown--McCoy radicals of a hemiring
Publicationes Mathematicae Debrecen, 2022Let \(C\) 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 ...
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A Note on the Jacobson And Brown-McCoy Radicals
Canadian Mathematical Bulletin, 1968Let 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.
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When are Ore extensions over nil rings Brown--McCoy radicals?
Publicationes Mathematicae Debrecen, 2021Wagner Cortes, Edilson Soares Miranda
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On maximal ideals and the brown-mccoy radical of polynomial rings
Communications in Algebra, 1998Agata Smoktunowicz
exaly
Differential rings and ore extensions: Brown-McCoy rings
Sociedade Brasileira De Matematica Boletim, Nova Serie, 1986MIGUEL Ferrero
exaly

