On the Projective Radicals of Regular Rings |
Received:January 10, 2003 |
Key Words:
projective radical socle regular rings MP-dimension
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Fund Project:Supported by National Natural Science Found of China (10071035) |
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Abstract: |
We study the properties of projective radicals of regular rings. It is shown that the projective radical of a regular ring is left-right symmetric and a regular ring modulo its projective radical has zero projective radical. Also, we obtain a relation between projective radicals of a finitely generated projective module over a regular ring and its endomorphism ring, from which we give formulas about projective radicals of matrix rings and corners of a regular ring, and some equivalent conditions for a regular ring with zero projective radicals are given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2004.04.005 |
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