Mac Lane (co)homology of the second kind and Wieferich primes

@article{Efimov2015MacL,
  title={Mac Lane (co)homology of the second kind and Wieferich primes},
  author={Alexander I. Efimov},
  journal={arXiv: Algebraic Geometry},
  year={2015}
}
  • A. Efimov
  • Published 31 May 2015
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper we investigate the connection between the Mac Lane (co)homology and Wieferich primes in finite localizations of global number rings. Following the ideas of Polishchuk-Positselski \cite{PP}, we define the Mac Lane (co)homology of the second kind of an associative ring with a central element. We compute this invariants for finite localizations of global number rings with an element $w$ and obtain that the result is closely related with the Wieferich primes to the base $w.$ In… 

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