Geodesic
WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE
TALEBI , Y. 1 ; GORJI, I. KHALILI2
1 Department of Mathematics, University of Mazandaran, Babolsar, Iran.
2
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 118-120.

Voir la notice de l'article provenant de la source International Scientific Research Publications

It is well-known that every quasi-projective module has $D_2$-condition. In this note it is shown that for a quasi-p-projective module M which is self- generator, duo, then M is discrete.
DOI : 10.22436/jnsa.001.02.07
Classification : 16D40, 16D60, 16D90
Keywords: Supplemented Module, H-Supplemented Module, Lifting Module.

TALEBI , Y.  1 ; GORJI, I. KHALILI 2

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran.
2 
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TALEBI , Y. ; GORJI, I. KHALILI. WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 118-120. doi : 10.22436/jnsa.001.02.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.02.07/

[1] Birkenmeier, G. F.; Muller, B. J.; Rizvi, S. T. Modules in which Every Fully Invariant submodule is Essential in a Fully Invariant Direct Summand, Comm. Algebra, Volume 30 (2002), pp. 1833-1852

[2] Chotchaisthit, S. When is a Quasi-p-injective Module Continuous? , Southest Asian Bulletin of Mathematics , Volume 26 (2002), pp. 391-394 | Zbl | DOI

[3] Mohamed, S. M.; Muller, B. J. Continuous and Discrete Modules, London Math, Soc, Lecture Notes Series 147, University Press, Cambridge, 1990

[4] Wisbauer, R. Foundations of Module and Ring Theory , Gordon and Breach, Philadelphia, 1991

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