author = {K. Nabeshima},
title = {{Reduced Groebner Bases in Polynomial Rings over a Polynomial Ring}},
language = {english},
abstract = {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. },
journal = {Mathematics in Computer Science},
volume = {1},
number = {2},
pages = {??--??},
publisher = {Brikhauser/Springer},
isbn_issn = {to appear},
year = {2007},
refereed = {yes},
length = {17}