In this report three classes of noncommutative rings are investigated with emphasis on their properties with respect to reduction relations. The Gröbner basis concepts in these rings, being developed in the literature by several authors, are considered and it is shown that the reduction relations corresponding to these Gröbner bases obey the axioms of a general theory of Gröbner reduction.
| Original language | English |
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| Place of Publication | Hagenberg, Linz |
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| Publisher | RISC, JKU |
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| Number of pages | 31 |
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| Publication status | Published - Oct 2015 |
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| Name | RISC Report Series |
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| No. | 15-16 |
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