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Uniqueness of real closure * of Baer reg...
Capco, Jose...
Uniqueness of real closure * of Baer regular rings by Capco, Jose ( Author )
N.A
07-08-2023
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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Article
pdf
37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/0710.0267
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