Algebraic radicals and incidence algebras
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If I (X, R) denotes the incidence algebra of the locally finite partially ordered set X over the ring with identity R, the upper and lower nil radicals of I (X, R) are described using the strong product property. An application of this information in the determination of algebraic radicals in the case when R is an algebra over a field is then given.
Mathematics Subject Classification (2000).16N99 16S99
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