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Ideals of finite
codimension in free algebras and the fc-localization
Amnon Rosenmann and Shmuel Rosset |
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Vol. 162 (1994), No. 2, 351–371
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Abstract |
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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. |
Mathematical Subject Classification 2000
Primary: 16S10
Secondary: 16D50, 16S90
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Milestones
Received: 26 February 1992
Revised: 4 August 1992
Published: 1 February 1994
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Authors |
| Amnon Rosenmann | |
| Shmuel Rosset | |
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