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Radical classes of algebras with B-action
Journal article   Peer reviewed

Radical classes of algebras with B-action

T. Stokes
Algebra Universalis, Vol.40(1), pp.73-85
1998
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Abstract

We initiate the radical theory of algebras with B-action where B is a fixed Boolean ring. We consider lattices of classes of algebras defined in terms of ideals of B. In two special cases (universal classes of Ω-groups with B-action and idempotent algebras with B-action), these ideal-defined classes are sublattices of the lattice of radicals, and we characterise semisimplicity in such cases.

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Citation topics
9 Mathematics
9.280 Algebra & Topology
9.280.1047 Algebraic Logic
Web Of Science research areas
Mathematics
ESI research areas
Mathematics
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