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Passman-Zalesskii Radical of group algebras
Published online by Cambridge University Press: 20 January 2009
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Recently Passman (attributing the origin of the idea to Zalesskii) has defined the following ideal in a ring, (2).
Definition. For a unitary ring R,
N * R = {α ∈ R | αS is nilpotent for all finitely generated subrings S of R}.
For a group algebra KG over a field K of characteristic p ≠ 0, he has proved the radical property:
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- Copyright © Edinburgh Mathematical Society 1974
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