English

Semidistributive Laurent Series Rings

Rings and Algebras 2020-06-15 v1

Abstract

If AA is a ring with automorphism φ\varphi and the skew Laurent series ring A((x,φ))A((x,\varphi )) is a right semidistributive semilocal ring then AA is a right semidistributive right Artinian ring. The Laurent series ring A((x))A((x)) is a right semidistributive semilocal ring if and only if AA is a right semidistributive right Artinian ring. The study is supported by Russian Scientific Foundation (project 16-11-10013).

Keywords

Cite

@article{arxiv.2006.06757,
  title  = {Semidistributive Laurent Series Rings},
  author = {Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2006.06757},
  year   = {2020}
}
R2 v1 2026-06-23T16:15:12.913Z