Annihilators and the cs-condition

Glasgow Mathematical Journal

Volumn 40, Issue 2, 1998, Pages 213-222

  Nicholson, W K ^a   Yousif, M F ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85011486649     PISSN: 00170895     EISSN: 1469509X     Source Type: Journal    
DOI: 10.1017/S0017089500032535     Document Type: Article

References (21)

1. Anderson F. W. and Fuller K. R., Rings and categories of modules (Springer-Verlag, 1991).
2. Björk J.-E., Rings satisfying certain chain conditions, J. Reine Angew. Math. 245 (1970), 63–73.
3. Camillo V., Commutative rings whose principal ideals are annihilators, Portugal. Math. 46 (1989), 33–37.
4. Camillo V. and Yousif M. F., Continuous rings with ACC on annihilators, Canad. Math. Bull. 34 (1991), 462–464.
5. Dischinger F. and Müller W., Left PF is not right PF, Comm., Alg. 14 (1986), 1223–1227.
6. Faith C., Embedding modules in projectives. A report on a problem, Lecture Notes in Math. 951, 21–40. (Springer-Verlag, 1982).
7. Faith C., Algebra II, Ring theory (Springer-Verlag, 1976).
8. Faith C. and Menal P., A counter-example to a conjecture of Johns, Proc. Amer. Math. Soc. 116 (1992), 21–26.
9. Faith C. and Menal P., The structure of Johns Rings, Proc. Amer. Math. Soc. 120 (1994), 1071–1081.
10. Pardo J. L. Gomez and Asensio P. A. Guil, Essential embedding of cyclic modules in projectives, Trans. Amer. Math. Soc. 349 (1997), 4343–4353.
11. Pardo J. L. Gomez and Asensio P. A. Guil, Rings with finite essential socle, Proc. Amer. Math. Soc. 125 (1997), 971–977.
12. Hajarnavis C. R. and Norton N. C., On dual rings and their modules, J. Algebra 93 (1985), 253–266.
13. Jain S. K. and López-Permouth S. R., Rings whose cyclics are essentially embeddable in projective modules, J. Algebra 128 (1990), 257–269.
14. Kasch F., Modules and rings (London Math. Soc. Monographs Vol 17, Academic Press, New York, 1982).
15. Nicholson W. K. and Yousif M. F., Principally injective rings, J. Algebra 174 (1995), 77–93.
16. Nicholson W. K. and Yousif M. F., Mininjective rings, J. Algebra 187 (1997), 548–578.
17. Osofsky B. L., A generalization of quasi-Frobenius rings, J. Algebra 4 (1966), 373–387.
18. Rada J. and Saorin M., On semiregular rings whose finitely generated modules embed in free, Canad. Math Bull. 40 (1997), 221–230.
19. Rutter E. A., Two characterizations of quasi-Frobenius rings, Pacific J. Math. 30 (1969), 777–784.
20. Utumi Y., On continuous and self-injective rings, Trans. Amer. Math. Soc. 118 (1965), 158–173.
21. Yousif M. F., On continuous rings, J. Algebra 191 (1997), 495–509.