Approximaitly Primary Submodules
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Abstract
The study deals with the notion of an approximaitly primary submodules of unitary left -module over a commutative ring with identity as a generalization of a primary submodules and approximaitly prime submodules, where a proper submodule of an -module is called an approximaitly primary submodule of , if whenever , for , , implies that either or for some positive integer of . Several characterizations, basic properties of this concept are given. On the other hand the relationships of this concept with some classes of modules are studied. Furthermore, the behavior of approximaitly primary submodule under -homomorphism are discussed.
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