Fully Coprime Comodules and Fully Coprime Corings
| dc.creator | Abuhlail, Jawad A. | |
| dc.date | 2006-04-12 | |
| dc.date | 2006-10-07 | |
| dc.date.accessioned | 2026-07-07T07:10:50Z | |
| dc.date.available | 2026-07-07T07:10:50Z | |
| dc.description | Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable generalization of simple corings (simple comodules), namely fully coprime corings (fully coprime comodules). Moreover, we consider several primeness notions in the category of comodules of a given coring and investigate their relations with the fully coprimeness and the simplicity of these comodules. These notions are applied then to study primeness and coprimeness properties of a given coring, considered as an object in its category of right (left) comodules. | |
| dc.description | 31 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0604285 | |
| dc.identifier | http://arxiv.org/abs/math/0604285 | |
| dc.identifier | Applied Categorical Structures (Special Issue 2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111547 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Category Theory | |
| dc.subject | 16W30, 16N60, 16A53 | |
| dc.title | Fully Coprime Comodules and Fully Coprime Corings | |
| dc.type | text |