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 |
DOIs | |
Publication status | Published - 1996 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory