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arXiv · 1512.03378

A classification of relation types of Ore extensions of dimension 5

Susan Elle
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Abstract

In order to study AS-regular algebras of dimension 5, we consider dimension 5 graded iterated Ore extensions generated in degree one. We classify the possible degrees of relations and structure of the free resolution for extensions with 3 and 4 generators. We show that every known type of algebra of dimension 5 can be realized by an Ore extension and we consider which of these types cannot be realized by an enveloping algebra.

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Susan Elle. 2015-12-10. A classification of relation types of Ore extensions of dimension 5. https://arxiv.org/abs/1512.03378

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