Archiv der Mathematik

, Volume 83, Issue 6, pp 481–487 | Cite as

Algebraic radicals and incidence algebras

  • Eugene Spiegel
Original Paper


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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Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ConnecticutStorrsUSA

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