RT Journal Article T1 On Lojasiewicz's inequality and the Nullstellensatz for rings of semialgebraic functions A1 Fernando Galván, José Francisco A1 Gamboa Mutuberria, José Manuel 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 for the ring of semialgebraic functions on a semialgebraic set M work if and only if M is locally compact. PB Elsevier SN 0021-8693 YR 2014 FD 2014-02-01 LK https://hdl.handle.net/20.500.14352/33473 UL https://hdl.handle.net/20.500.14352/33473 LA eng NO Spanish GR DS Docta Complutense RD 7 may 2024