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On left QF −
3 rings
Hiroyuki Tachikawa |
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Vol. 32 (1970), No. 1, 255–268
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Abstract |
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In this paper the following results are proved: (i) Three classes of left QF-3 rings are closed under taking left quotient rings respectively. (ii) A subcategory of left modules having dominant dimensions ≧ 2 over a right perfect left QF-3 ring R is equivalent to a category of all left fRf-modules, where f is a suitable idempotent of R. (iii) In case a left QF-3 ring is obtained as the endomorphism ring of a generator, dominant dimensions (≧ 2) of modules are closely connected with the vanishing of Extfunctors. (iv) Three classes of left and right QF-3 rings are identical in case of perfect rings. |
Mathematical Subject Classification
Primary: 16.50
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Milestones
Received: 6 November 1968
Published: 1 January 1970
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Authors |
| Hiroyuki Tachikawa | |
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