TL;DR
This paper advances the theory of perinormality in ring extensions, demonstrating its preservation under various pullback constructions and introducing new concepts like relative perinormality and fragility.
Contribution
It extends the understanding of perinormality by establishing its stability in pullback scenarios and defining related concepts for ring extensions.
Findings
Perinormality is preserved by many pullback constructions.
Introduces the concepts of relative perinormality and fragility.
Provides new tools for analyzing ring extension properties.
Abstract
We further develop the notion of perinormality from our last paper, showing that it is preserved by many pullback constructions. In doing so, we introduce the concepts of relative perinormality and fragility for ring extensions.
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