Algebraic and F-Independent sets in 2-firs
| dc.creator | Leroy, A. | |
| dc.creator | Ozturk, A. | |
| dc.date | 2004-11-28 | |
| dc.date.accessioned | 2026-07-07T05:14:46Z | |
| dc.date.available | 2026-07-07T05:14:46Z | |
| dc.description | Let $R$ denote a 2-fir. The notions of F-independence and algebraic subsets of R are defined. The decomposition of an algebraic subset into similarity classes gives a simple way of translating the F-independence in terms of dimension of some vector spaces. In particular to each element $a \in R$ is attached a certain algebraic set of atoms and the above decomposition gives a lower bound of the length of the atomic decompositions of $a$ in terms of dimensions of certain vector spaces. A notion of rank is introduced and fully reducible elements are studied in details. | |
| dc.identifier | https://arxiv.org/abs/math/0411622 | |
| dc.identifier | http://arxiv.org/abs/math/0411622 | |
| dc.identifier | Communications in Algebra, Vol. 32 (5) (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73406 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S36; 16K40 | |
| dc.title | Algebraic and F-Independent sets in 2-firs | |
| dc.type | text |