B. J. Gardner, A. Plant, “The graded Jacobson radical of associative rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, номер 1,страницы 31

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Research articles

The graded Jacobson radical of associative rings

B. J. Gardner^a, A. Plant^b

^a Discipline of Mathematics University of Tasmania, Hobart, Australia
^b School of Information Technology and Mathematical Sciences University of Ballarat, Ballarat, Australia

Аннотация: We introduce a consistent definition for the graded Jacobson radical for group graded rings without unity. We compare the graded Jacobson radical for rings with unity and those without. We find that for group graded rings, the descriptions are equivalent.

Ключевые слова и фразы: graded ring, Jacobson radical.

MSC: 34C05, 58F14

Поступила в редакцию: 02.02.2008

Язык публикации: английский