Details
| Original language | English |
|---|---|
| Pages (from-to) | 175-180 |
| Number of pages | 6 |
| Journal | Discrete mathematics |
| Volume | 267 |
| Issue number | 1-3 |
| Early online date | 21 Dec 2002 |
| Publication status | Published - 6 Jun 2003 |
Abstract
In the past André generalized the affine spaces under different aspects to the so-called noncommutative geometries. One of the most general definitions which was inspired by Pfalzgraf (J. Geom. 25 (1985) 147) is that of skewaffine spaces (Ann. Univ. Saraviensis. Ser. Math. 4 (1993) 93). Many interesting results are found but this subject is not much familiar to the geometry community. Maybe the reason for this lies in the language of the axioms used. Here, we will give descriptions of such spaces in the language of distance spaces as proposed by Benz (Geometrische Transformationen, BI-Wissenschaftsverlag, Mannheim, 1992). Moreover, we can find connections to other geometries like Ferrero geometries.
Keywords
- Distance space, Ferrero geometries, Skewaffine space
ASJC Scopus subject areas
- Mathematics(all)
- Theoretical Computer Science
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Discrete mathematics, Vol. 267, No. 1-3 , 06.06.2003, p. 175-180.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Skewaffine spaces in the language of distance spaces
AU - Hotje, Herbert
PY - 2003/6/6
Y1 - 2003/6/6
N2 - In the past André generalized the affine spaces under different aspects to the so-called noncommutative geometries. One of the most general definitions which was inspired by Pfalzgraf (J. Geom. 25 (1985) 147) is that of skewaffine spaces (Ann. Univ. Saraviensis. Ser. Math. 4 (1993) 93). Many interesting results are found but this subject is not much familiar to the geometry community. Maybe the reason for this lies in the language of the axioms used. Here, we will give descriptions of such spaces in the language of distance spaces as proposed by Benz (Geometrische Transformationen, BI-Wissenschaftsverlag, Mannheim, 1992). Moreover, we can find connections to other geometries like Ferrero geometries.
AB - In the past André generalized the affine spaces under different aspects to the so-called noncommutative geometries. One of the most general definitions which was inspired by Pfalzgraf (J. Geom. 25 (1985) 147) is that of skewaffine spaces (Ann. Univ. Saraviensis. Ser. Math. 4 (1993) 93). Many interesting results are found but this subject is not much familiar to the geometry community. Maybe the reason for this lies in the language of the axioms used. Here, we will give descriptions of such spaces in the language of distance spaces as proposed by Benz (Geometrische Transformationen, BI-Wissenschaftsverlag, Mannheim, 1992). Moreover, we can find connections to other geometries like Ferrero geometries.
KW - Distance space
KW - Ferrero geometries
KW - Skewaffine space
UR - http://www.scopus.com/inward/record.url?scp=0037507568&partnerID=8YFLogxK
U2 - 10.1016/S0012-365X(02)00612-X
DO - 10.1016/S0012-365X(02)00612-X
M3 - Article
AN - SCOPUS:0037507568
VL - 267
SP - 175
EP - 180
JO - Discrete mathematics
JF - Discrete mathematics
SN - 0012-365X
IS - 1-3
ER -