Fernando Galván, José FranciscoGamboa Mutuberria, José Manuel2023-06-192023-06-192014-02-010021-869310.1016/j.jalgebra.2013.09.048https://hdl.handle.net/20.500.14352/33473In this article we present versions of Lojasiewicz's inequality and the Nullstellensatz for the ring of bounded semialgebraic functions on an arbitrary semialgebraic set M. We also prove that the classical Lojasiewicz inequality and Nullstellensatz for the ring of semialgebraic functions on a semialgebraic set M work if and only if M is locally compact.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0021869313005991http://www.sciencedirect.com/http://www.mat.ucm.es/~josefer/pdfs/preprint/null-loj.pdfopen access512Semialgebraic setSemialgebraic functionLojasiewicz's inequalityNullstellensatzeLocally compact semialgebraic setz-idealz*-idealRadical idealPrime idealMaximal idealFixed idealFree idealÁlgebra1201 Álgebra