English

Lambda actions of rings of integers

Number Theory 2011-05-25 v1 K-Theory and Homology

Abstract

Let O be the ring of integers of a number field K. For an O-algebra R which is torsion free as an O-module we define what we mean by a Lambda_O-ring structure on R. We can determine whether a finite etale K-algebra E with Lambda_O-ring structure has an integral model in terms of a Deligne-Ribet monoid of K. This a commutative monoid whose invertible elements form a ray class group.

Keywords

Cite

@article{arxiv.1105.4662,
  title  = {Lambda actions of rings of integers},
  author = {James Borger and Bart de Smit},
  journal= {arXiv preprint arXiv:1105.4662},
  year   = {2011}
}

Comments

This preprint is a preliminary version dating from 2006. We are making it available in this form because some people would like to cite it now. The final version should be available before long

R2 v1 2026-06-21T18:11:33.374Z