Arithmetic-arboreal residue structures induced by Prufer extensions : An axiomatic approach
Commutative Algebra
2010-11-04 v1 Logic
Abstract
We present an axiomatic framework for the residue structures induced by Prufer extensions with a stress upon the intimate connection between their arithmetic and arboreal theoretic properties. The main result of the paper provides an adjunction relationship between two naturally defined functors relating Prufer extensions and superrigid directed commutative regular quasi-semirings.
Keywords
Cite
@article{arxiv.1011.0855,
title = {Arithmetic-arboreal residue structures induced by Prufer extensions : An axiomatic approach},
author = {Serban A. Basarab},
journal= {arXiv preprint arXiv:1011.0855},
year = {2010}
}
Comments
56 pages