@**article**{RISC3156,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}

}