TY - JOUR AU - Acquistapace, Francesca AU - Broglia, Fabrizio AU - Fernando Galván, José Francisco PY - 2016 DO - 10.1090/tran/6436 SN - 0002-9947 UR - https://hdl.handle.net/20.500.14352/24540 T2 - Transactions of the American Mathematical Society AB - In this work we prove the real Nullstellensatz for the ring O(X) of analytic functions on a C-analytic set X ⊂ Rn in terms of the saturation of Łojasiewicz’s radical in O(X): The ideal I(Ƶ(a)) of the zero-set Ƶ(a) of an ideal a of O(X) coincides with... LA - eng M2 - 3899 PB - American Mathematical Society KW - Nullstellensatz KW - Stein space KW - Closed ideal KW - Radical KW - Real Nullstellensatz KW - C-analytic set KW - Saturated ideal KW - Lojasiewicz’s radical KW - Convex ideal KW - H-sets KW - Ha-set KW - Real ideal KW - Real radical KW - Real-analytic ideal KW - Real-analytic radical KW - Quasi-real ideal. TI - On the nullstellensätze for stein spaces and C-analytic sets. TY - journal article VL - 368 ER -