Finiteness conditions and infinite matrix rings
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- by Ángel del Río and Juan Jacobo Simón PDF
- Proc. Amer. Math. Soc. 134 (2006), 1257-1263 Request permission
Abstract:
For a unital ring $R$, $\mathrm {RCFM}_\alpha (R)$ denotes the ring of row and column finite matrices over $R$ indexed by $\alpha$. We give necessary and sufficient structural conditions on $\mathrm {RCFM}_\alpha (R)$ which are equivalent to $R$ being, respectively, Quasi-Frobenius, left artinian, and left noetherian.References
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Additional Information
- Ángel del Río
- Affiliation: Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain
- MR Author ID: 288713
- Email: adelrio@um.es
- Juan Jacobo Simón
- Affiliation: Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain
- Email: jsimon@um.es
- Received by editor(s): September 2, 2004
- Received by editor(s) in revised form: November 19, 2004
- Published electronically: October 4, 2005
- Additional Notes: Both authors were partially supported by the D.G.I. of Spain and Fundación Séneca of Murcia
- Communicated by: Martin Lorenz
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1257-1263
- MSC (2000): Primary 16S50; Secondary 16P20, 16P40
- DOI: https://doi.org/10.1090/S0002-9939-05-08090-1
- MathSciNet review: 2199167