Quasi-duality, linear compactness and Morita duality for power series rings

Canadian Mathematical Bulletin

Volumn 39, Issue 2, 1996, Pages 250-256

  Xue, Weimin ^a  

^a FUJIAN NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030167171     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1996-032-7     Document Type: Article

References (14)

1. F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, 2nd edition, Springer-Verlag, New York, 1992.
2. P. N. Anh, Morita duality for commutative rings, Comm. Algebra 18(1990), 1781-1788.
3. G. Azumaya, A duality theory for infective modules, Amer. J. Math. 81(1959), 249-278.
4. F. Dischinger and W. Müller, Left PF is not right PF, Comm. Algebra 14(1986), 1223-1227.
5. J. Kraemer, Characterizations of the Existence of (Quasi-) Self-duality for Complete Tensor Rings, Algebra Berichte 56, Verlag Reinhard Fischer, München, 1987.
6. A. S. McKerrow, On the injective dimension of modules of power series, Quart. J. Math. Oxford 25(1974), 359-368.
7. C. Menini, Jacobson's conjecture, Morita duality and related questions, J. Algebra 103(1986), 638-655.
8. K. Morita, Duality for modules and its applications to the theory of rings with minimum condition, Tokyo Kyoiku Daigaku, Ser A6(1958), 83-142.
9. B. J. Müller, Linear compactness and Morita duality, J. Algebra 16(1970), 60-66.
10. _, Duality theory for linearly topologized modules, Math. Z. 119(1971), 63-74.
11. P. Vámos, Rings with duality, Proc. London Math. Soc. 35(1977), 275-289.
12. K. Varadarajan, A generalization of Hilbert basis theorem, Comm. Algebra 10(1982), 2191-2204.
13. Weimin Xue, Rings with Morita Duality, Lect. Notes Math. 1523, Springer-Verlag, Berlin, 1992.
14. _, Morita duality and some kinds of ring extensions. Algebra Collq. 1(1994), 77-84.