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Algebraic radicals and incidence algebras

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Abstract.

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, Connecticut, 06269, USA

    Eugene Spiegel

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  1. Eugene Spiegel
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Correspondence to Eugene Spiegel.

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Received: 6 October 2003

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Spiegel, E. Algebraic radicals and incidence algebras. Arch. Math. 83, 481–487 (2004). https://doi.org/10.1007/s00013-004-1184-y

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  • DOI: https://doi.org/10.1007/s00013-004-1184-y

Mathematics Subject Classification (2000).

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