English

A classification of relation types of Ore extensions of dimension 5

Rings and Algebras 2015-12-11 v1

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.

Keywords

Cite

@article{arxiv.1512.03378,
  title  = {A classification of relation types of Ore extensions of dimension 5},
  author = {Susan Elle},
  journal= {arXiv preprint arXiv:1512.03378},
  year   = {2015}
}

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29 pages