Zuo Liancui. RINGS OVER WHICH ALL R - PROJECTIVE MODULES ARE PROJECTIVE (Ⅱ)[J]. Journal of University of Jinan(Social Science Edition), 1997,(4):58-62.
Zuo Liancui. RINGS OVER WHICH ALL R - PROJECTIVE MODULES ARE PROJECTIVE (Ⅱ)[J]. Journal of University of Jinan(Social Science Edition), 1997,(4):58-62.DOI:
一类其R-投射模是投射的环(Ⅱ)
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=R
n
为RP-环当且仅当R为RP-环;sum from i=1 to nR
1
为RP-环当且仅当每个R
i
为RP-环
讨论了RP-环的左投射维数.
Abstract
In this paper
rings over which all R - projective modules are projective (RP -ring) are discussed
some equivalent conditions are obtained. It’s proved that S= Rn is RP- ringiff R is RP - ring; ∑n i=1 Ri is RP - ring iff every Ri is RP - ring. Finally
the left projective dimensionof RP - ring is discussed.