On a Hereditary Property of QF Rings |
Received:September 24, 1991 Revised:April 20, 1994 |
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Abstract: |
Let ring A be an extension of ring B with B a QF ring,In this paper, we show thatA is also a QF ring if one of the following condition is satisfied:(1)BA is a finitely gen-erated free module and A/B is a projective extension. (2)A/B is a Frobenius extension.(3)A/B is a separable extension and BA is a flat module. A/B is an H-separable extension. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1994.04.029 |
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