TY - JOUR AU - Fernando Galván, José Francisco AU - Gamboa Mutuberria, José Manuel PY - 2014 DO - 10.1016/j.jalgebra.2013.09.048 SN - 0021-8693 UR - https://hdl.handle.net/20.500.14352/33473 T2 - Journal of algebra AB - In 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... LA - eng M2 - 475 PB - Elsevier KW - Semialgebraic set KW - Semialgebraic function KW - Lojasiewicz's inequality KW - Nullstellensatze KW - Locally compact semialgebraic set KW - z-ideal KW - z*-ideal KW - Radical ideal KW - Prime ideal KW - Maximal ideal KW - Fixed ideal KW - Free ideal TI - On Lojasiewicz's inequality and the Nullstellensatz for rings of semialgebraic functions TY - journal article VL - 399 ER -