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Feb 15, 2020 at 17:52 history edited YCor CC BY-SA 4.0
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Feb 15, 2020 at 17:51 comment added YCor The right way to formulate the question would be: Let $(A,+,\le)$ be a totally ordered abelian group such that $(A,\le)$ is isomorphic to $(\mathbf{R},\le)$ as ordered set. Is $(A,+,\le)$ Archimedean? (If groups are allowed to be non-abelian, it should be specified what invariance is required: left-invariance or bi-invariance.)
May 30, 2012 at 15:23 history edited chros CC BY-SA 3.0
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May 29, 2012 at 8:54 history edited chros CC BY-SA 3.0
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May 29, 2012 at 8:45 vote accept chros
May 29, 2012 at 8:31 history edited chros CC BY-SA 3.0
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May 28, 2012 at 22:11 answer added Goldstern timeline score: 4
May 28, 2012 at 22:08 answer added Andreas Blass timeline score: 9
May 28, 2012 at 22:03 comment added Salvo Tringali Let me try and guess that "over the reals" means that the carrier of the structure is the reals. On another hand, I don't understand why the OP speaks of an ordered group but specifies what looks like the signature of an ordered monoid.
May 28, 2012 at 21:39 comment added Noah Stein I agree that this question needs some work to be coherent enough to answer. But two unexplained downvotes don't seem to be helping. I am canceling one out. Chros, please hit edit then proofread your question (totally ordered group? etc.) and define terms which you are not sure are standard.
May 28, 2012 at 20:08 comment added Qiaochu Yuan What does "over the reals" mean here?
May 28, 2012 at 19:44 history asked chros CC BY-SA 3.0