Convex subrings of partially ordered rings

被引：0
|
作者：
Schwartz, Niels [1 ]
机构：
[1] Univ Passau, Fak Math & Informat, D-94030 Passau, Germany
来源：
MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 05期
关键词：
Partially ordered ring; convex subring; prime spectrum; real spectrum; REAL HOLOMORPHY RING; PRUFER EXTENSIONS; POWERS; SUMS;
D O I：
10.1002/mana.200710017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The relationship between a poring and a convex subring has been studied most successfully for porings with bounded inversion. The best conceivable results are known for real closed rings. The present paper focuses on the connections between the prime spectra and between the real spectra of a poring and a convex subring. Examples show that for arbitrary porings one may not expect a very close relationship. But with the assumption of bounded inversion or spectral compatibility the results are similar to those for real closed rings. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：758 / 774
页数：17
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