Group algebras primitive modulo the Jacobson radical
نویسندگان
چکیده
منابع مشابه
Rings and Algebras the Jacobson Radical of a Semiring
The concept of the Jacobson radical of a ring is generalized to semirings. A semiring is a system consisting of a set S together with two binary operations, called addition and multiplication, which forms a semigroup relative to addition, a semigroup relative to multiplication, and the right and left distributive laws hold. The additive semigroup of S is assumed to be commutative. The right ide...
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For any non-torsion group G with identity e, we construct a strongly G-graded ring R such that the Jacobson radical J(Re) is locally nilpotent, but J(R) is not locally nilpotent. This answers a question posed by Puczy lowski.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1986
ISSN: 1385-7258
DOI: 10.1016/1385-7258(86)90032-6