Ideals of finite codimension in free algebras and the FC-localization

Amnon Rosenmann*, Shmuel Rosset

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The topology defined by all finite codimensional right ideals has interesting properties in the case of the free algebra and the group ring of a free group. Its open ideals are precisely the finitely generated essential ones. Finitely generated right ideals are closed and the Leavitt numbers of the associated localization are 1 and n-1. The proofs are, for the most part, applications of Schreier’s method.

Original languageEnglish
Pages (from-to)351-371
Number of pages21
JournalPacific Journal of Mathematics
Issue number2
StatePublished - Feb 1994


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