Results 271 to 280 of about 3,828 (293)
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1991
Historically, the notion of the radical was a direct outgrowth of the notion of semisimplicity. It may be somewhat surprising, however, to remark that the radical was studied first in the context of nonassociative rings (namely, finite-dimensional Lie algebras) rather than associative rings. In the work of E. Cartan, the radical of a finite-dimensional
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Historically, the notion of the radical was a direct outgrowth of the notion of semisimplicity. It may be somewhat surprising, however, to remark that the radical was studied first in the context of nonassociative rings (namely, finite-dimensional Lie algebras) rather than associative rings. In the work of E. Cartan, the radical of a finite-dimensional
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The Baer and Jacobson Radicals of Crossed Products
Acta Mathematica Hungarica, 1998This paper is concerned with crossed products \(A=R\#_\sigma H\) of a Hopf algebra \(H\) over an algebra \(R\). The author obtains that the \(H\)-Baer radical \(r_{H_b}(R)\) of \(R\) consists of so called \(H\)-\(m\)-nilpotent elements in \(R\) and gives some sufficient conditions for the question of \textit{J. R. Fisher} [J. Algebra 34, 217-231 (1975;
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Notes on the graded Jacobson radical: a graded version of the Jacobson stable set
Communications in Algebra, 2020Emil Ilić-Georgijević
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The Jacobson Radical of an Endomorphism Ring for an Abelian Group
Algebra and Logic, 2004P A Krylov
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The Jacobson radical of the endomorphism ring of a torsion-free abelian group
Russian Mathematics, 2012V M Misyakov, Misyakov V M
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