Finiteness conditions and infinite matrix rings |
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Authors: | Á ngel del Rí o Juan Jacobo Simó n |
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Institution: | Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain ; Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain |
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Abstract: | For a unital ring , RCFM denotes the ring of row and column finite matrices over indexed by . We give necessary and sufficient structural conditions on RCFM which are equivalent to being, respectively, Quasi-Frobenius, left artinian, and left noetherian. |
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Keywords: | |
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