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math.RA2016★ 3 cited
Non-noetherian groups and primitivity of their group algebras
James Alexander, Tsunekazu Nishinaka
We prove that the group algebra of a group over a field is primitive, provided that has a free subgroup with the same cardinality as , and that satisfies th…
math.RA2010
Group rings of countable non-abelian locally free groups are primitive
Tsunekazu Nishinaka
We prove that every group ring of a non-abelian locally free group which is the union of an ascending sequence of free groups is primitive. In particular, every group ring of a cou…