### 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.

Original language | English |
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Pages (from-to) | 3659-3673 |

Number of pages | 15 |

Journal | Communications in Algebra |

Volume | 27 |

Issue number | 8 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Communications in Algebra*,

*27*(8), 3659-3673.

**The general radical theory of incidence algebras.** / Veldsman, Stefan.

Research output: Contribution to journal › Article

*Communications in Algebra*, vol. 27, no. 8, pp. 3659-3673.

}

TY - JOUR

T1 - The general radical theory of incidence algebras

AU - Veldsman, Stefan

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033432567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033432567&partnerID=8YFLogxK

M3 - Article

VL - 27

SP - 3659

EP - 3673

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 8

ER -