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Research articles

The graded Jacobson radical of associative rings

B. J. Gardner^a, A. Plant<sup>b

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

Abstract: 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.

Keywords and phrases: graded ring, Jacobson radical.

MSC: 34C05, 58F14

Received: 02.02.2008

Language: English

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