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The aim is to define and explore left weakly Baer rings and their properties, especially their relation to polynomial extensions.

June 14, 2026Open Access

Weakly Baer Rings

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The aim is to define and explore left weakly Baer rings and their properties, especially their relation to polynomial extensions.
Defined the left weakly Baer property for rings with unity.
Analyzed the implications of this property on the flatness of modules.
Provided examples to illustrate the findings.
Demonstrated that left weakly Baer rings have specific properties distinct from Baer and right PP conditions.
Confirmed that polynomial extensions inherit the weakly Baer property.

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Demonstrates the properties of weakly Baer rings, highlighting their inheritance in polynomial extensions.

Mehralinejadian et al. (2023) studied this question.

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