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Fernando Galván, José Francisco
(2002)
*Sums of squares in real analytic rings.*
Transactions of the American Mathematical Society, 354
(5).
pp. 1909-1919.
ISSN 0002-9947

PDF
Restringido a Repository staff only 197kB |

Official URL: http://www.ams.org/journals/tran/2002-354-05/S0002-9947-02-02956-

## Abstract

Let A be an analytic ring. We show:(1) A has finite Pythagoras number if and only if its real dimension is 2, and (2) if every positive semidefinite element of A is a sum of squares, then A is real and has real dimension 2.

Item Type: | Article |
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Uncontrolled Keywords: | Analytic ring; Positive semidefnite element; Sum of squares; Pythagoras number. |

Subjects: | Sciences > Mathematics > Number theory Sciences > Mathematics > Algebraic geometry |

ID Code: | 15238 |

Deposited On: | 17 May 2012 08:08 |

Last Modified: | 06 Sep 2018 14:41 |

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