Abstract
We investigate, for quotients of the non-commutative polynomial ring, a property that implies finiteness of Grobner bases computation, and examine its connection with Noetherianity. We propose a Grobner bases theory for our factor algebras, of particular interest for one-sided ideals, and show a few applications, e.g. how to compute (one-sided) syzygy modules.
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More From: Applicable Algebra in Engineering, Communication and Computing
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