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摘要翻译：
我在上一篇论文中指出，有一些环的实闭包*不是唯一的。在文[4]中，我们还讨论了存在唯一实闭包*的环的一些例子（主要是实闭环）。现在我们要确定更多的环类，其中实闭包*是唯一的。主要结果包括具有唯一实闭包*的区域和Baer正则环的刻划，以及正则环不必是F-环才能具有唯一实闭包*的一个例子。这里的主要目的是寻找实正则环的实闭包唯一性的刻画，它主要只需要环的素谱和实谱的信息。
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英文标题：
《Uniqueness of real closure * of Baer regular rings》
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作者：
Jose Capco
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Commutative Algebra 交换代数
分类描述：Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环，模，理想，同调代数，计算方面，不变理论，与代数几何和组合学的联系
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
It was pointed out in my last paper that there are rings whose real closure * are not unique. In [4] we also discussed some example of rings by which there is a unique real closure * (mainly the real closed rings). Now we want to determine more classes of rings by which real closure * is unique. The main results involve characterisations of domains and Baer regular rings having unique real closure *, and an example showing that regular rings need not be f-rings in order to have a unique real closure *. The main objective here is to find characterisation for uniqueness of real closure * for real regular rings that will primarily only require information of the prime spectrum and the real spectrum of the ring.
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PDF链接：
https://arxiv.org/pdf/0710.0267
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