English

Gorenstein weak dimension of a coherent power series rings

Commutative Algebra 2009-03-17 v1

Abstract

We compute the Gorenstein weak dimension of a coherent power series rings over a commutative rings and we show that, in general, \gwd(R)1\gwd(R) \leq 1 does not imply that RR is an arithmetical ring.

Keywords

Cite

@article{arxiv.0903.2779,
  title  = {Gorenstein weak dimension of a coherent power series rings},
  author = {Najib Mahdou and Mohammed Tamekkante and Siamak Yassemi},
  journal= {arXiv preprint arXiv:0903.2779},
  year   = {2009}
}

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9 pages