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  • @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}
    }