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Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
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Let be a commutative ring with identity. The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules. A proper submodule of an -module is called pseudo primary-2-absorbing if whenever , for , , implies that either or or . Many basic properties, examples and characterizations of these concepts are given. Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced. Moreover, the behavior of a pseudo primary-2-absorbing submodule under -homomorphism is studied.
College of Education for Pure Sciences Ibn Al-Haitham
Title: Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
Description:
Let be a commutative ring with identity.
The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules.
A proper submodule of an -module is called pseudo primary-2-absorbing if whenever , for , , implies that either or or .
Many basic properties, examples and characterizations of these concepts are given.
Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced.
Moreover, the behavior of a pseudo primary-2-absorbing submodule under -homomorphism is studied.
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