### Abstract

It is shown that in the variety of all, not necessarily 0-symmetric near-rings, there are no non-trivial classes of near-rings which satisfy condition (F), no non-trivial (Kurosh-Amitsur) radical classes with the ADS-property and consequently no non-trivial ideal-hereditary radical classes. It is also shown that any hereditary semisimple class contains only 0-symmetric near-rings.

Original language | English |
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Pages (from-to) | 185-189 |

Number of pages | 5 |

Journal | Algebra Universalis |

Volume | 36 |

Issue number | 2 |

Publication status | Published - 1996 |

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Veldsman, S. (1996). The general radical theory of near-rings - Answers to some open problems.

*Algebra Universalis*,*36*(2), 185-189.