I-Semiprime Submodules | Zendy

Adwia J. Abdul-AlKhalik | Zendy

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I-Semiprime Submodules

Author(s) -

Adwia J. Abdul-AlKhalik

Publication year - 2019

Publication title -

iraqi journal of science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.152

H-Index - 4

eISSN - 2312-1637

pISSN - 0067-2904

DOI - 10.24996/ijs.2019.60.9.17

Subject(s) - semiprime , semiprime ring , mathematics , pure mathematics , unitary state , commutative ring , commutative property , prime (order theory) , ideal (ethics) , combinatorics , philosophy , political science , law , epistemology

Let be a commutative ring with identity and a fixed ideal of and be an unitary -module.We say that a proper submodule of is -semi prime submodule if with . In this paper, we investigate some properties of this class of submodules. Also, some characterizations of -semiprime submodules will be given, and we show that under some assumptions -semiprime submodules and semiprime submodules are coincided.

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