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The document discusses the conditions under which an element in an integral domain can be expressed as a sum of squares, focusing on unique factorization domains (UFDs) and regular semilocal domains. The authors present several theorems that establish relationships between sums of squares in the quotient field and the integral domain itself, including specific cases where these relationships hold true. Additionally, the paper explores implications of these results in relation to Hilbert
- Author
- Chor Yin Ho
- Language
- EN