The Hyperradical and The Hopkins-Levitzki Theorem for Modular Lattices
| dc.creator | Guzman, Fernando | |
| dc.date | 2004-09-07 | |
| dc.date.accessioned | 2026-07-07T05:11:53Z | |
| dc.date.available | 2026-07-07T05:11:53Z | |
| dc.description | Many arguments in the Theory of Rings and Modules are, on close inspection, purely Lattice theoretic arguments. Calagareanu} has a long repertoire of such results in his book. The Hopkins-Levitzki Theorem is interesting from this point of view, because a special case of it lends to an obvious lattice theory approach, but the rest is a little more subtle. Albu and Smith have obtained some sufficient conditions for the question of when Artinian implies Noetherian. Here we present a new approach, using the concept of Hyperradical; we obtain necessary and sufficient conditions. | |
| dc.description | 7 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0409108 | |
| dc.identifier | http://arxiv.org/abs/math/0409108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72395 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 06C99 (Primary) 16P20, 16N20 (Secondary) | |
| dc.title | The Hyperradical and The Hopkins-Levitzki Theorem for Modular Lattices | |
| dc.type | text |