Rings whose proper factors are right perfect
Alberto Facchini, Catia Parolin
TL;DR
This paper extends the properties of almost perfect rings from commutative to non-commutative rings, demonstrating that many known characteristics are preserved in the broader non-commutative context.
Contribution
It generalizes the theory of almost perfect rings to non-commutative rings, showing that key properties hold beyond the commutative case.
Findings
Most properties of almost perfect rings hold in non-commutative setting
Extension of commutative ring theory to non-commutative rings
Broader applicability of almost perfect ring properties
Abstract
We show that practically all the properties of almost perfect rings discovered by Bazzoni and Salce in "Almost perfect domains" (Colloq. Math. 95 (2) (2003), 285-301) for commutative rings hold in the non-commutative setting.
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