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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
Volume
1963
DOI
10.1088/1742-6596/1963/1/012067
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J-Small Semiprime Submodules
Nuhad Al-Mothafar
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Abstract<p>Let <italic>R</italic> be a commutative ring with identity and <italic>Y</italic> be an unitary <italic>R</italic>-module. We say a non-zero submodule <italic>s</italic> of <italic>Y</italic> is a <italic>J –</italic> small semiprime if and only if for whenever <italic>i</italic> ∈ <italic>R, y ∈ Y,(Y)</italic> is small in <italic>Y</italic> and <italic>i<sup>2</sup>y</italic> ∈ <italic>S</italic> + <italic>Rad (Y)</italic> implies <italic>iy</italic> ∈ <italic>S.</italic> In this paper, we investigate some properties and characterizations of these class of submodules</p>
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