Abstract
We obtained an explicit description of complemented radicals in the lattice of all radicals. As an application we obtained an explicit description of radicals whose essential cover is a semisimple class. Finally, we obtained a description of radicals α such that every finitely generated α-semisimple ring is a direct sum of simple rings.
Original language | English |
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Pages (from-to) | 328-356 |
Number of pages | 29 |
Journal | Journal of Algebra |
Volume | 201 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1998 Mar 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory