ON GALOIS-GROUPS OVER PYTHAGOREAN AND SEMI-REAL CLOSED FIELDS

被引：15

作者：

EFRAT, I ^{[1
]}

HARAN, D ^{[1
]}

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1994年 / 85卷 / 1-3期

关键词：

D O I：

10.1007/BF02758636

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We call a field K semi-real closed if it is algebraically maximal with respect to a semi-ordering. It is proved that (as in the case of real closed fields) this is a Galois-theoretic property. We give a recursive description of all absolute Galois groups of semi-real closed fields of finite rank.

引用

页码：57 / 78

页数：22

共 28 条

[1]

Artin E., 1927, ABH MATH SEM HAMBURG, V5, P225

[2]

BECKER E, 1974, J REINE ANGEW MATH, V268, P41

[3]

BECKER E, 1977, ABH MATH SEM U HAMBU, V0046, P00143

[4] SUBGROUP THEOREM FOR FREE PRODUCTS OF PRO-FINITE GROUPS [J].

BINZ, E ;

NEUKIRCH, J ;

WENZEL, GH .

JOURNAL OF ALGEBRA, 1971, 19 (01) :104-&

[5] THEORY OF QUADRATIC-FORMS OF FORMAL REAL FIELDS [J].

BROCKER, L .

MATHEMATISCHE ANNALEN, 1974, 210 (03) :233-256

[6]

BROCKER L, 1977, ARCH MATH, V29, P458, DOI 10.1007/BF01220438

[7] CHARACTERIZATION OF FANS AND HEREDITARILY PYTHAGOREAN FIELDS [J].

BROCKER, L .

MATHEMATISCHE ZEITSCHRIFT, 1976, 151 (02) :149-163

[8] CHARACTERIZING REDUCED WITT RINGS OF FIELDS [J].

CRAVEN, TC .

JOURNAL OF ALGEBRA, 1978, 53 (01) :68-77

[9]

EFRAT I, IN PRESS J PURE APPL

[10]

Endler Otto, 1972, VALUATION THEORY

← 1 2 3 →