A counterexample for CS-Rings

Glasgow Mathematical Journal

Volumn 42, Issue 2, 2000, Pages 263-269

  Birkenmeier, Gary F ^a   Kim, Jin Yong ^b   Park, Jae Keol ^c  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b Kyung Hee University   (South Korea)

^c Pusan National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010571679     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089500020127     Document Type: Article

References (13)

1. G. F. Birkenmeier, J. Y. Kim and J. K. Park, When is the CS condition hereditary?, Comm. Algebra 27 (1999), 3875-3885.
2. C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras (Interscience, New York, 1962).
3. N. V. Dung, D. V. Huynh, P. F. Smith and R. Wisbauer, Extending modules (Pitman, London, 1994).
4. N. V. Dung and P. F. Smith, Rings for which certain modules are CS, J. Pure Appl. Algebra 102 (1995), 273-287.
5. D. Eisenbud and P. Griffith, Serial rings, J. Algebra 17 (1971), 389-400.
6. C. Faith, Algebra II-Ring theory (Springer-Verlag, 1976).
7. C. Faith and S. Page, FPF Ring theory: Faithful modules and generators of Mod-R, London Math. Soc. Lecture Note Series, Vol. 88 (Cambridge University Press, 1984).
8. A. Harmanci and P. F. Smith, Finite direct sums of CS-modules, Houston J. Math. 19 (1993), 523-532.
9. D. V. Huynh and S. T. Rizvi, On some classes of artinian rings, J. Algebra 233 (2000), 133-153.
10. S. H. Mohamed and B. J. Müller, Continuous and discrete modules, London Math. Soc. Lecture Note 147 (Cambridge University Press, 1990).
11. D. S. Passman, The algebraic structure of group rings (John Wiley, New York, 1977).
12. B. Srinivasan, On the indecomposable representation of a certain class of groups, Proc. London Math. Soc. (3) 10 (1960), 497-513.
13. N. Vanaja and V. M. Purav, Characterizations of generalized uniserial rings in terms of factor rings, Comm. Algebra 20 (1992), 2253-2270.