TY  - JOUR
AU  - Gamboa Mutuberria, José Manuel
AU  - Fernando Galván, José Francisco
PY  - 2012
DO  - 10.1142/S0129167X12500310
SN  - 0129-167X
UR  - https://hdl.handle.net/20.500.14352/42179
T2  - International Journal Of Mathematics
AB  - In this work we define a semialgebraic set S Rn to be irreducible if the noetherian ring of Nash functions on S is an integral domain. Keeping this notion we develop a satisfactory theory of irreducible components of semialgebraic sets, and we use it...
M2  - 40
PB  - World Scientific Publ
KW  - Nash function
KW  - Nash set
KW  - irreducible semialgebraic set
KW  - irreducible componentsof a semialgebraic set
KW  - w-Nash set
KW  - q-Nash set
KW  - substitution theorem
KW  - positivstellens¨atze
KW  - 17th Hilbert problem and real nullstellensatz
TI  - On The Irreducible Components Of A Semialgebraic Set
TY  - journal article
VL  - 23
ER  -