半∑准投射模自同态环的稳定秩
Stable Range of Endomorphism Rings of Semi ∑ Quasi Projective Modules
摘要
本文证明了若半Σ准投射模是弱n满投射的,则其自同态环的稳定秩至多为n,从而部分推广了文献[3]的—个主要结果.
We prove that the endomorphism ring of semi-∑-quasi-projective module P has stable range at most n provided P is weakly n-epi-projective. Consequently, we partially generalize a main result in[3].
关键词
半∑准投射模
稳定秩
弱礼满投射
semi-∑-quasi-projective module
stable range
weakly n-eip-projective.
参考文献6
-
1BASS H. Algebraic K-Theory [M]. W. A. Benjamin, Inc., New York-Amsterdam, 1968.
-
2SATO M, Fuller's theorem on equivalences [J]. J. Algebra, 1978, 52: 274-284.
-
3WU Tong-suo. On the stable range of endomorphism rings of quai projective modules [J]. Comm. Algebra,1998, 26(1): 139-146.
-
4CANFELL M J. Completions of diagrams by automorphisms and Bass' First stable range condition [J]. J. Algebra, 1995, 176: 480-503.
-
5WU Tong-suo, XU Yong-hua. On the stable range of exchange rings [J]. Comm. Algebra, 1997, 25(7): 2355-2365.
-
6MENAL P, MONCASI J. On regular rings with stable range 2 [J]. J. Pure. Appl. Albebra, 1982, 24(1):25-40.
