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Sums of semiprime, ๐‘ง, and ๐‘‘๐‘™-ideals in a class of ๐‘“-rings

Sums of semiprime, ๐‘ง, and ๐‘‘๐‘™-ideals in a class of ๐‘“-rings

In this paper it is shown that there is a large class of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f"> <mml:semantics> <mml:mi>f</mml:mi> <mml:annotation encoding="application/x-tex">f</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-rings in which the sum of any two semiprime <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l"> <mml:semantics> <mml:mi>l</mml:mi> <mml:annotation encoding="application/x-tex">l</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-ideals is semiprime. This result is โ€ฆ