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ON QUASI-EXACT SEQUENCES
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 Title & Authors
ON QUASI-EXACT SEQUENCES
ANVARIYEH, S.M.; DAVVAZ, B.;
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 Abstract
The notion of U-exact sequence (or quasi-exact sequence) of modules was introduced by Davvaz and Parnian-Garamaleky as a generalization of exact sequences. In this paper, we prove further results about quasi-exact sequences. In particular, we give a generalization of Schanuel's Lemma. Also we obtain some relation-ship between quasi-exact sequences and superfluous (or essential) submodules.
 Keywords
quasi-exact sequence;superfluous (essential) submodule;
 Language
English
 Cited by
1.
ERRATUM TO 'A SHORT NOTE ON QUASI-EXACT SEQUENCES',;

대한수학회보, 2006. vol.43. 1, pp.225-225 crossref(new window)
 References
1.
F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York, Inc. 1992

2.
S. M. Anvariyeh and B. Davvaz, U -Split-Exact Sequences, Far East J. Math. Sci. (FJMS) 4 (2002), no. 2, 209-219

3.
B. Davvaz, A generalization of homological algebra, J. Korean Math. Soc. 39 (2002), no. 6, 881-898 crossref(new window)

4.
B. Davvaz and Y. A. Parnian-Garamaleky, A Note on Exact Sequences, Bull. Malays. Math. Sci. Soc. (2) 22 (1999), no. 1, 53-56

5.
A. Solian, Theory of Modules (Translated from the Romanian by M.Buiculescu), John Wiley & Sons, 1977