JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON THE FLATNESS AND INJECTIVITY OF DUAL MODULES (III)
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON THE FLATNESS AND INJECTIVITY OF DUAL MODULES (III)
Huang, Zhaoyong;
  PDF(new window)
 Abstract
For a commutative ring R and an injective cogenerator E in the category of R-modules, we characterize von Neumann regular rings and semisimple artinian rings in terms of the properties of dual modules with respect to E.
 Keywords
dual modules;quasi-injective;quasi-projective;von Neumann regular rings;semisimple artinian rings;
 Language
English
 Cited by
 References
1.
T. Albu and C. Nastasescu, Relative Finiteness in Module Theory, Pure and Applied Mathematics (A series of monographs and textbooks) 84, New York: Marcel Dekker, Inc., 1984

2.
F. W. Anderson and K. R. Fuller, Rings and Categories of modules, 2nd ed., Graduate Texts in Mathematics 13, Berlin: Springer-Verlag, 1992

3.
K. A. Byrd, Some characterizations of uniserial rings, Math. Ann. 186 (1970), 163-170 crossref(new window)

4.
J. S. Golan, Characterization of rings using quasiprojective modules, Israel J. Math. 8 (1970), 34-38 crossref(new window)

5.
J. S. Golan, Characterization of rings using quasiprojective modules II, Proc. Amer. Math. Soc. 28 (1971), 337-343

6.
P. Griffith, A note on a theorem of Hill, Pacific J. Math. 29 (1969), 279-284 crossref(new window)

7.
Z. Y. Huang, On the flatness and injectivity of dual modules, Southeast Asian Bull. Math. 21 (1997), no. 3, 257-262

8.
Z. Y. Huang and J. Y. Tang, On the flatness and injectivity of dual modules (II), J. Math. Res. Exposition 21 (2001), no. 3, 377-383

9.
T. Ishikawa, Faithfully exact functors and their applications to projective modules and injective modules, Nagoya Math. J. 24 (1964), 29-42

10.
J. J. Rotman, An Introduction to Homological Algebra, New York: Academic Press, 1979

11.
B. Stenstrom, Rings of Quotients, Die Grundlehren der Mathematischen Wis-senschaften in Einzeldarstellungen 217, Berlin: Springer-Verlag, 1975