Graded extensions in K[Q, sigma]
Rings and Algebras
2022-09-23 v1
Abstract
Let V be a total valuation ring of a division ring K, Q be the additive group of the rational numbers, Aut(K) be the group of automorphisms of K. Let sigma be a group homomorphism from Q to Aut(K). Let K[Q, sigma ] be the skew group ring of Q over K. In this paper, we classify graded extensions of V in K[Q, sigma] into two types and study the structure of them.
Cite
@article{arxiv.2209.10757,
title = {Graded extensions in K[Q, sigma]},
author = {Guangming Xie and Miaomiao Wang and Jie Liang},
journal= {arXiv preprint arXiv:2209.10757},
year = {2022}
}