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#1 |
Dec 2003
Hopefully Near M48
2·3·293 Posts |
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Are there any examples other than
(Alright, alright. I know of one other example: Last fiddled with by jinydu on 2013-11-25 at 04:52 |
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#2 |
Dec 2003
Hopefully Near M48
2×3×293 Posts |
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Never mind, found an example: The ring of polynomials (in one variable) with natural number coefficients.
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#3 |
"Nathan"
Jul 2008
Maryland, USA
5·223 Posts |
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This paper, entitled (appropriately enough) "Discrete Ordered Rings", might be of some help.
In particular, look at Theorem 11.1 on page 135. It states that if R is an ordered ring with unity and if a is an element of R, then the order in R extends to the ring of polynomials So, given that the integers give you a discrete ordered ring, it seems as though you could just pick your favorite integer (I like 8) and then form the polynomial ring Hopefully I have understood this correctly, and this helps you out! ![]() Last fiddled with by NBtarheel_33 on 2013-11-25 at 09:11 |
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