RT Journal Article T1 Sums of squares in real analytic rings. A1 Fernando Galván, José Francisco AB 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. PB American Mathematical Society SN 0002-9947 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/57241 UL https://hdl.handle.net/20.500.14352/57241 LA eng NO DGICYT DS Docta Complutense RD 22 abr 2025