Simple rings with injectivity conditions on one-sided ideals

Bulletin of the Australian Mathematical Society

Volumn 76, Issue 2, 2007, Pages 315-320

  Clark, John ^a   Van Huynh, Dinh ^b  

^a UNIVERSITY OF OTAGO   (New Zealand)

^b OHIO UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35349010107     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700039691     Document Type: Article

References (15)

1. F.W. Anderson and K.R. Fuller, Rings and categories of modules, (second edition) (Springer-Verlag, New York, 1992).
2. A. W. Chatters and C.R. Hajarnavis, 'Rings in which every complement right ideal is a direct summand', Quart. J. Math. Oxford 28 (1977), 61-80.
3. J. Clark and D.V. Huynh, 'A study of uniform one-sided ideals in simple rings', Glasgow Math. J. (to appear).
4. J.H. Cozzens, 'Homological properties of the ring of differential polynomials', Bull. Amer. Math. Soc. 76 (1970), 75-79.
5. H.Q. Dinh, 'A note on pseudo-injective modules', Comm. Algebra 33 (2005), 361-369.
6. N.V. Dung, D.V. Huynh, P.F. Smith and R. Wisbauer, Extending modules (Longman Scientific & Technical, Harlow, 1994).
7. N.V. Dung and P.F. Smith, 'Σ-CS-modules', Comm. Algebra 22 (1994), 83-93.
8. K.R. Goodearl, Von Neumann regular rings, (second edition) (Krieger Publishing Company, Malabar, 1991).
9. K.R. Goodearl and D. Handelman, 'Simple self-injective rings', Comm. Algebra 3 (1975), 797-834.
10. R. Hart, 'Simple rings with uniform right ideals', J. London Math. Soc. Ser. 1 42 (1967), 614-617.
11. D.V. Huynh, S.K. Jain and S.R. López-Permouth, 'Prime Goldie rings of uniform dimension at least two and with all one-sided ideals CS are semihereditary', Comm. Algebra 31 (2003), 5355-5360.
12. T.Y. Lam, Lectures on modules and rings (Springer-Verlag, New York, 1999).
13. S.H. Mohamed and B.J. Müller, Continuous and discrete modules (Cambridge Univ. Press, Cambridge, 1990).
14. B.L. Osofsky, 'Rings all of whose finitely generated modules are injective', Pacific J. Math. 14 (1964), 645-650.
15. Y. Utumi, 'On continuous rings and self injective rings', Trans. Amer. Math. Soc. 118 (1965), 158-173.