Rings which satisfy the Property of Inserting Regular Elements at Zero Products
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This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.
Abstract
This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.
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