TY - JOUR AU - Baro González, Elías AU - Fernando Galván, José Francisco AU - Gamboa Mutuberria, José Manuel PY - 2024 DO - 10.1007/s00029-024-00965-z SN - 1022-1824 UR - https://hdl.handle.net/20.500.14352/13084.2 T2 - Selecta Mathematica AB - In this work we analyze the main properties of the Zariski and maximal spectra of the ring Sr(M) of differentiable semialgebraic functions of class Cr on a semialgebraic set M ⊂ Rm. Denote S0(M) the ring of semialgebraic functions on M that admit a... LA - eng M2 - 71 PB - Springer Nature KW - Differentiable semialgebraic function of class r KW - Zariski and maximal spectra KW - Real closed field KW - Real closed ring KW - Real closure KW - Łojasiewicz’s Nullstellensatz KW - Nash functions TI - Rings of differentiable semialgebraic functions TY - journal article VL - 30 ER -