Approximaitly Semi-Prime Submodules and Some Related Concepts
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Abstract
We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module over a commutative ring with identity as a generalization of a prime submodules and semi-prime submodules, also generalization of quasi-prime submodules and approximaitly prime submodules. Various basic properties of an approximaitly semi-prime submodules are discussed, where a proper submodule of an -module is called an approximaitly semi-prime submodule of , if whenever , where , and , implies that . Furthermore the behaviors of approximaitly semi-prime submodule in some classes of modules are studied. On the other hand several characterizations of this concept are introduced.
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Approximaitly Semi-Prime Submodules and Some Related Concepts. (2019). Ibn AL-Haitham Journal For Pure and Applied Sciences, 32(3), 117-128. https://doi.org/10.30526/32.3.2288
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Mathematics
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How to Cite
Approximaitly Semi-Prime Submodules and Some Related Concepts. (2019). Ibn AL-Haitham Journal For Pure and Applied Sciences, 32(3), 117-128. https://doi.org/10.30526/32.3.2288