On Gröbner bases in monoid and group rings

@inproceedings{Reinert1995OnGB,
  title={On Gr{\"o}bner bases in monoid and group rings},
  author={Birgit Reinert},
  year={1995}
}
Following Buchberger's approach to computing a Grr obner basis of a polynomial ideal in polynomial rings, a completion procedure for nitely generated right ideals in ZH] is given, where H is an ordered monoid presented by a nite, convergent semi{Thue system ((; T). Taking a nite set F ZH] we get a (possibly innnite) basis of the right ideal generated by F , such that using this basis we have unique normal forms for all p 2 ZH] (especially the normal form is 0 in case p is an element of the… CONTINUE READING
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