Results 91 to 100 of about 430 (107)

Notes on Brown-McCoy-radicals for Γ-near-rings

Periodica Mathematica Hungarica, 1991
The Brown-McCoy radical \(\beta\) is defined to be the upper radical determined by the class of simple \(\Gamma\)-near-rings with strong left unity, while the simplicial radical \(S\) is defined to be the upper radical determined by the class of simple \(\Gamma\)-near-rings with left and right unities.
G L Booth
exaly   +2 more sources

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
exaly   +2 more sources

R[x, y] is Brown-McCoy Radical if R[x] is Jacobson Radical

2003
Let R be a ring such that the polynomial ring R[x] over R in one indeterminate x is Jacobson radical. We show that the polynomial ring R[x, y] over R in two commuting indeterminates x, y is Brown-McCoy radical.
Agata Smoktunowicz, Smoktunowicz Agata
exaly   +2 more sources

On the Brown-McCoy Radical in semigroups

Mathematische Nachrichten, 1974
exaly   +2 more sources

The Brown-Mccoy Radical of Certain Group Algebras

Journal of the London Mathematical Society, 1973
exaly   +3 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  

On the brown-mccoy property for Г-rings

Communications in Algebra, 1996
Wang Dingguo
exaly