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Sums of squares in
planar Nash rings
Gustave Adam Efroymson |
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Vol. 97 (1981), No. 1, 75–79
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Abstract |
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In a previous paper, the author developed the ideal theory of Nash rings on planar domains. Here that theory is applied to show that a Nash function on a planar domain D which takes on only non-negative values on D is a sum of two squares of Nash functions on D. Examples are given which clarify the situation for higher dimensions. |
Mathematical Subject Classification 2000
Primary: 12D99
Secondary: 13B02, 32B99, 14G30, 10C04
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Milestones
Received: 10 July 1980
Published: 1 November 1981
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Authors |
| Gustave Adam Efroymson | |
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