English

Criteria for a ring to have a left Noetherian left quotient ring

Rings and Algebras 2015-08-18 v1

Abstract

Two criteria are given for a ring to have a left Noetherian left quotient ring (this was an open problem since 70's). It is proved that each such ring has only finitely many maximal left denominator sets.

Keywords

Cite

@article{arxiv.1508.03798,
  title  = {Criteria for a ring to have a left Noetherian left quotient ring},
  author = {V. V. Bavula},
  journal= {arXiv preprint arXiv:1508.03798},
  year   = {2015}
}

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16 pages