The general radical theory of incidence algebras

Abstract

Since their introduction in 1964 as a combinatorial tool, incidence algebras have been studied in their own right. In particular, the Jacobson and nilradicals of incidence algebras over commutative rings with identity were determined.Here we present the general radical theory for incidence algebras, with the emphasis on hypernilpotent and subidempotent radicals.

AMS Subject Clasification:

• 16N80
• 16S50