Katsusuke Nabeshima,
"Reduced Groebner bases in polynomial rings over a polynomial ring"
, in Wang and D. and Zheng and Z.: Internatial Conference on Mathematical Aspects of Computer and Information Sciences, Seite(n) 15-32, 2006
Original Titel:
Reduced Groebner bases in polynomial rings over a polynomial ring
Sprache des Titels:
Englisch
Original Buchtitel:
Internatial Conference on Mathematical Aspects of Computer and Information Sciences
Original Kurzfassung:
We define reduced Gröbner bases in polynomial rings over a polynomial ring and introduce an algorithm for computing them. There exist some algorithms for computing Gröbner bases in polynomial rings over a polynomial ring. However, we cannot obtain the reduced Gröbner bases by these algorithms. In this paper we give problems for computing the reduced Gröbner bases and show how to solve these problems.