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Weakly Small Smiprime Submodules
Abstract<p>Let <italic>R</italic> be a commutative ring with an identity, and <italic>G</italic> be a unitary left <italic>R</italic>-module. A proper submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is called semiprime if whenever <italic>a ∈ R, y ∈ G, n ∈ Z</italic> <sup>+</sup> and <italic>a<sup>n</sup>y ∈ H</italic>, then <italic>ay ∈ H</italic>. We say that a properi submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is a weakly small semiprime, if whenever <italic>a ∈ R, y ∈ G, n∈Z</italic> <sup>+</sup>, (<italic>y</italic>) is small in <italic>G</italic> and 0 ≠ <italic>a<sup>n</sup>y ∈ H</italic>, implies <italic>ay ∈ H</italic>. Many basic properties and characterizations of this type of submodule are given.</p>
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Publication Date
Mon Jul 01 2019
Journal Name
Iop Conference Series: Materials Science And Engineering
“Small wave number and less of Reynolds number inflow analysis in peristaltic transportation of “Hyperbolic tangent fluid” in curved channels by employing the influence of radial magnetic force”
Abstract<p>Through this article, we studied the peristaltic motion of “Hyperbolic Tangent” fluid in the geometry of curvature channel by using the analysis of large wavelength and less of Reynolds number. The matter has controlled mathematically by the partial differential equations of continuity, motion, heat transfer. In the study, we used the impact of radial magnetic force. The obtained coupled non-linear equations of above equations have solved by an approximation technical. Locked formula solutions of the stream function, axial velocity, heat function has evaluated. The influence of curvature is analysed and took it into account. The impact of sundry variables on the inflow features ha</p> ... Show More
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