On formally real division algebras and quasifields of finite rank

被引：0

作者：

Kalhoff F.B. ^{[1
,2
]}

机构：

[1] Fachbereich Mathematik, Universität Dortmund

[2] Fakultät für Mathematik und Informatik, Universität Passau

来源：

Journal of Geometry | 1998年 / 61卷 / 1-2期

关键词：

Natural Number; Division Algebra; Finite Rank; Real Division; Real Division Algebra;

D O I：

10.1007/BF01237497

中图分类号：

学科分类号：

摘要：

For each natural number n with n ≥ 2 we construct proper, formally real division algebras and proper, formally real quasifields of dimension n over their kernel. © Birkhäuser Verlag, Basel, 1998.

引用

页码：74 / 82

页数：8

共 14 条

[1]

Albert A.A., On ordered algebras, Bull. Amer. Math. Soc., 46, pp. 521-522, (1940)

[2]

Bruck R.H., A Survey of Binary Systems, Ergebnisse der Mathematik und Ihrer Grenzgebiete, 20, (1966)

[3]

Groger D., Über Angeordnete Fastkörper, (1982)

[4]

Joussen J., Eine Charakterisierung der anordnungsfähigen Translationsebenen mittels ihrer Projektivitätengruppen, Talk at the DMV - Congress in Graz, (1985)

[5]

Kalhoff F., Uniform valuations on planar ternary rings, Geometriae Dedicata, 28, pp. 337-348, (1988)

[6]

Geometriae Dedicata, 31, pp. 123-124, (1989)

[7]

Kalhoff F., Formal power series over cartesian groups and their spaces of orderings, Geometriae Dedicata, 36, pp. 329-345, (1990)

[8]

Kalhoff F., On the existence of special quasifields, Arch. Math., 58, pp. 92-97, (1992)

[9]

Kalhoff F., Topological projective planes and uniform valuations, Geometriae Dedicata, 54, pp. 199-224, (1995)

[10]

Kalhoff F., Orderings, algebras and projective planes, Expositiones Math., 13, pp. 3-38, (1995)

← 1 2 →