| 关于R—投射模是投射模的环 |
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| 作者单位： | 济南大学数学系 |
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| 摘 要： | 本文研究了所有Ｒ—投射模都是投射模的环（ＲＰ—环），得出了它的几个等价条件，证明了：Ｓ＝Ｒｎ为ＲＰ—环当且仅当Ｒ为ＲＰ—环；∑ｎｉ＝１Ｒｉ为ＲＰ—环当且仅当每个Ｒｉ为ＲＰ—环．讨论了ＲＰ—环的左投射维数．
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| 关 键 词： | R—投射模 RP—环 左投射维数 |
The Ring R That All R Projective Modules Are Projective |
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| Zuo Lancui. The Ring R That All R Projective Modules Are Projective[J]. College Mathematics, 1998, 0(1) |
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| Authors: | Zuo Lancui |
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| Abstract: | This paper discuss the ring R that all R projective modules are projective ( RP ring), obtain some equevalent conditions, prove that S=R n is RP ring iff R is; ∑ni=1R i is RP ring iff every R i is. Finally, we discuss the left projective dimension of RP ring. |
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| Keywords: | R projective module RP ring left projective dimension. |
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