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Solving One-Sided Equations
in Integer Monoid Rings
Birgit Reinert
Fachbereich Informatik
Universität Kaiserslautern
67663 Kaiserslautern
Germany
reinert@informatik.uni-kl.de
Abstract:
One of the applications of Gröbner bases in commutative polynomial rings
is to solve linear equations.
Here we show how similar results can be obtained for systems of one-sided
linear equations in the more general setting of monoid and group rings.
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![$\mathbb {Z}[{\cal M}]$](img3.gif){kind=small}
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![$\mathbb {Z}[{\cal M}]^k$](img170.gif){kind=small}