Cohn path algebras have Invariant Basis Number

Gene Abrams; Müge Kanuni

doi:10.1080/00927872.2014.982812

Cohn path algebras have Invariant Basis Number

Rings and Algebras 2020-12-29 v2

Authors: Gene Abrams , Müge Kanuni

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Abstract

For any finite directed graph $E$ and any field $K$ we show that the Cohn path algebra $C_K(E)$ has the Invariant Basis Number property.

Keywords

Cohn path algebra invariant basis number directed graph field

Cite

@article{arxiv.1303.2122,
  title  = {Cohn path algebras have Invariant Basis Number},
  author = {Gene Abrams and Müge Kanuni},
  journal= {arXiv preprint arXiv:1303.2122},
  year   = {2020}
}

Comments

11 pages; updated October 2013; some minor style changes from original March 2013 version; new observation that Cohn path algebras have Invariant Matrix Number as well

Cohn path algebras have Invariant Basis Number

Abstract

Keywords

Cite

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