TY - JOUR AU - Fernando Galván, José Francisco PY - 2014 DO - 10.1093/qmath/hat048 SN - 0033-5606 UR - https://hdl.handle.net/20.500.14352/33760 T2 - Quaterly journal of mathematics AB - In this work, we study the structure of non-refinable chains of prime ideals in the (real closed) rings S(M) and S*(M) of semialgebraic and bounded semialgebraic functions on a semialgebraic set M subset of R-m. We pay special attention to the prime... LA - eng M2 - 893 PB - Oxford univ press KW - Semialgebraic function KW - Zariski spectrum KW - Maximal spectrum KW - Real closed ring KW - semialgebraic compactication KW - Chain of prime ideals KW - Maximal ideal KW - Minimal prime ideal KW - Z-ideal KW - Semialgebraic depth KW - Family of bricks KW - Local compactness TI - On Chains of prime ideals in ring of semialgebraic funtions TY - journal article VL - 65 ER -