Generalizations of Perfect, Semiperfect, and Semiregular Rings

Algebra Colloquium

Volumn 7, Issue 3, 2000, Pages 305-318

  Zhou, Yiqiang ^a  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Projective covers; perfect rings; semiperfect rings; semiregular rings; small submodules

Indexed keywords

EID: 0034551071     PISSN: 10053867     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10011-000-0305-9     Document Type: Article

References (7)

1. F.W. Anderson, K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York-Heidelberg-Berlin, 1974.
2. H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960) 466-488.
3. C. Faith, Algebra II: Ring Theory, Springer-Verlag, Berlin, 1976.
4. W.K. Nicholson, Semiregular modules and rings, Canad. J. Math. 28 (1976) 1105-1120.
5. M. Nishi, M. Shinagawa, Codivisorial and divisorial modules over completely integrally closed domains (II), Hiroshima Math. J. 5 (1975) 461-471.
6. F.L. Sandomierski, On semiperfect and perfect rings, Proc. Amer. Math. Soc. 21 (1969) 205-207.
7. R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.