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Classical Quasi Primary Elements in Lattice Modules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2015

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper we introduce the notion of classical primary and classical quasi primary elements in lattice modules which are the generalization of the concepts in submodules. We obtain some characterizations of classical primary and classical quasi primary elements .We also investigate the decomposition and minimal decomposition into classical quasi primary elements.
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  • 2
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  • English

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REFERENCES

References: 

[1] M. Behboodi, R. Jahani-nezhad, and M. H. Naderi. Classical Quasi Primary Submod-
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[2] M. Behboodi and M. Baziar. Classical primary submodules and decomposition theory of mod-
ules, Journal of Algebra Application, 8(3), 351-362. 2009.
[3] R. P. Dilworth. Abstract Commutative Ideal Theory, Pacific J. Math., 12, 481-498. 1962.
[4] L. Fuchs. On quasi primary ideals, Acta Scientiarum Mathematicarum, 11, 174-183. 1947.
[5] R. Y. Sharp. Steps in commutative algebra, London Mathematatical Society, Cambridge
University Press, Cambridge, 1990.

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