WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE

Volume 1, Issue 2, pp 118-120 http://dx.doi.org/10.22436/jnsa.001.02.07

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Authors

Y. TALEBI - Department of Mathematics, University of Mazandaran, Babolsar, Iran.. I. KHALILI GORJI

Abstract

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.

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ISRP Style

Y. TALEBI, I. KHALILI GORJI, WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 2, 118-120

AMA Style

TALEBI Y., GORJI I. KHALILI, WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE. J. Nonlinear Sci. Appl. (2008); 1(2):118-120

Chicago/Turabian Style

TALEBI , Y., GORJI, I. KHALILI. "WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE." Journal of Nonlinear Sciences and Applications, 1, no. 2 (2008): 118-120

Keywords

Supplemented Module
H-Supplemented Module
Lifting Module.

MSC

16D40
16D60
16D90

References

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

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

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

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