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A NOTE ON FULLY (m, n)-STABLE MODULES

Year 2009, Volume: 6 Issue: 6, 65 - 73, 01.12.2009

M. S. Abbas M. J. Mohammedali

Abstract

Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. For two fixed positive integers m and n, a right R-module M is called fully (m, n)-stable, if θ(N) ⊆ N for each ngenerated submodule N of Mm and R-homomorphism θ : N → Mm. In this paper we give some characterization theorems and properties of fully (m, n)-stable modules which generalize the results of fully stable modules. Also we study and describe the maximal submodules of fully (m, n)-stable modules

Keywords

fully (m n)-stable modules (m n)-Baer criterion m-dual distinguished

Year 2009, Volume: 6 Issue: 6, 65 - 73, 01.12.2009

M. S. Abbas M. J. Mohammedali

Abstract

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Details

Other ID JA59SM34RB
Authors

M. S. Abbas This is me

M. J. Mohammedali This is me

Publication Date December 1, 2009
Published in Issue Year 2009 Volume: 6 Issue: 6

Cite

APA Abbas, M. S., & Mohammedali, M. J. (2009). A NOTE ON FULLY (m, n)-STABLE MODULES. International Electronic Journal of Algebra, 6(6), 65-73. https://izlik.org/JA55GZ68NN
AMA 1.Abbas MS, Mohammedali MJ. A NOTE ON FULLY (m, n)-STABLE MODULES. IEJA. 2009;6(6):65-73. https://izlik.org/JA55GZ68NN
Chicago Abbas, M. S., and M. J. Mohammedali. 2009. “A NOTE ON FULLY (m, N)-STABLE MODULES”. International Electronic Journal of Algebra 6 (6): 65-73. https://izlik.org/JA55GZ68NN.
EndNote Abbas MS, Mohammedali MJ (December 1, 2009) A NOTE ON FULLY (m, n)-STABLE MODULES. International Electronic Journal of Algebra 6 6 65–73.
IEEE [1]M. S. Abbas and M. J. Mohammedali, “A NOTE ON FULLY (m, n)-STABLE MODULES”, IEJA, vol. 6, no. 6, pp. 65–73, Dec. 2009, [Online]. Available: https://izlik.org/JA55GZ68NN
ISNAD Abbas, M. S. - Mohammedali, M. J. “A NOTE ON FULLY (m, N)-STABLE MODULES”. International Electronic Journal of Algebra 6/6 (December 1, 2009): 65-73. https://izlik.org/JA55GZ68NN.
JAMA 1.Abbas MS, Mohammedali MJ. A NOTE ON FULLY (m, n)-STABLE MODULES. IEJA. 2009;6:65–73.
MLA Abbas, M. S., and M. J. Mohammedali. “A NOTE ON FULLY (m, N)-STABLE MODULES”. International Electronic Journal of Algebra, vol. 6, no. 6, Dec. 2009, pp. 65-73, https://izlik.org/JA55GZ68NN.
Vancouver 1.Abbas MS, Mohammedali MJ. A NOTE ON FULLY (m, n)-STABLE MODULES. IEJA [Internet]. 2009 Dec. 1;6(6):65-73. Available from: https://izlik.org/JA55GZ68NN