Semi--vector spaces and units of measurement
| dc.creator | Janyška, Josef | |
| dc.creator | Modugno, Marco | |
| dc.creator | Vitolo, Raffaele | |
| dc.date | 2007-10-05 | |
| dc.date.accessioned | 2026-07-07T08:34:35Z | |
| dc.date.available | 2026-07-07T08:34:35Z | |
| dc.description | This paper is aimed at introducing an algebraic model for physical scales and units of measurement. This goal is achieved by means of the concept of ``positive space'' and its rational powers. Positive spaces are 1-dimensional ``semi-vector spaces'' without the zero vector. A direct approach to this subject might be sufficient. On the other hand, a broader mathematical understanding requires the notions of sesqui- and semi-tensor products between semi-vector spaces and vector spaces. So, the paper is devoted to an original contribution to the algebraic theory of semi-vector spaces, to the algebraic analysis of positive spaces and, eventually, to the algebraic model of physical scales and units of measurement in terms of positive spaces. | |
| dc.description | 28 pages, LaTeX with custom styles included in the source file | |
| dc.identifier | https://arxiv.org/abs/0710.1313 | |
| dc.identifier | http://arxiv.org/abs/0710.1313 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139489 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 15A69;12K10,16Y60,70Sxx | |
| dc.title | Semi--vector spaces and units of measurement | |
| dc.type | text |