Krull dimension of tensor products of pullbacks
| dc.creator | Bouchiba, Samir | |
| dc.date | 2009-02-14 | |
| dc.date.accessioned | 2026-07-07T12:42:07Z | |
| dc.date.available | 2026-07-07T12:42:07Z | |
| dc.description | This paper is concerned with the study of the dimension theory of tensor products of algebras over a field $k$. We answer an open problem set in [6] and compute dim$(A\otimes_kB)$ when $A$ is a $k$-algebra arising from a specific pullback construction involving AF-domains and $B$ is an arbitrary $k$-algebra. On the other hand, we deal with the question (Q) set in [5] and show, in particular, that such a pullback $A$ is in fact a generalized AF-domain. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0902.2467 | |
| dc.identifier | http://arxiv.org/abs/0902.2467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219964 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C15 | |
| dc.title | Krull dimension of tensor products of pullbacks | |
| dc.type | text |