A general representation theorem for partially ordered commutative rings

被引：14

作者：

Marshall, M ^{[1
]}

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 0W0, Canada

来源：

MATHEMATISCHE ZEITSCHRIFT | 2002年 / 242卷 / 02期

关键词：

D O I：

10.1007/s002090100321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An extension of the Kadison-Dubois representation theorem is proved. This extends both the classical version [3] and the preordering version given by Jacobi in [5]. It is then shown how this can be used to sharpen the results on representations of strictly positive polynomials given by Jacobi and Preste] in [6].

引用

页码：217 / 225

页数：9

共 14 条

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[2] PARTIAL ORDERS ON A FIELD AND VALUATION RINGS
BECKER, E
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[3] THE KADISON-DUBOIS REPRESENTATION-THEORY
BECKER, E
SCHWARTZ, N
[J]. ARCHIV DER MATHEMATIK, 1983, 40 (05) : 421 - 428
[4] BECKER E, 1982, SPRINGER LECT NOTES, V957, P1
[5] A NOTE ON DAVID HARRISONS THEORY OF PREPRIMES
DUBOIS, DW
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1967, 21 (01) : 15 - &
[6] A representation theorem for certain partially ordered commutative rings
Jacobi, T
[J]. MATHEMATISCHE ZEITSCHRIFT, 2001, 237 (02) : 259 - 273
[7] Jacobi T, 2001, J REINE ANGEW MATH, V532, P223
[8] KRIVINE JL, 1964, CR HEBD ACAD SCI, V258, P3417
[9] Krivine JL, 1964, J. Anal. Math., V12, P307
[10] Marshall, 2000, POSITIVE POLYNOMIALS

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