Katsusuke Nabeshima,
"Reduced Groebner Bases in Polynomial Rings over a Polynomial Ring"
, in Mathematics in Computer Science, Vol. 1, Nummer 2, Brikhauser/Springer, 2007, ISSN: 1661-8289
Original Titel:
Reduced Groebner Bases in Polynomial Rings over a Polynomial Ring
Sprache des Titels:
Englisch
Original Kurzfassung:
We define reduced Gr\"obner bases in polynomial rings over a polynomial ring and introduce an algorithm for computing them. There exist some algorithms for computing Gr\"obner bases in polynomial rings over a polynomial ring. However, we cannot obtain the reduced Groebner bases by these algorithms. In this paper we propose a new notion of reduced Groebner bases in polynomial rings over a polynomial ring and we show that every ideal has a unique reduced Groebner basis.