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The aim is to explore the properties of right strongly Baer ideals and their topological characterization in semiprime rings.

June 14, 2026Open Access

A Subclass of Baer Ideals and Its Applications

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The aim is to explore the properties of right strongly Baer ideals and their topological characterization in semiprime rings.
Characterization of right strongly Baer ideals in generalized triangular matrix rings, full matrix rings, and upper triangular matrix rings.
Topological characterization of these ideals in semiprime and semiprimitive rings.
Analysis of isolated points in the maximal spectrum of semiprimitive commutative rings.
Every ideal of a ring is a right strongly Baer ideal if and only if the ring is semisimple.
Characterizations provided for right strongly Baer ideals in specific matrix rings.
Established conditions under which the socle of a semiprimitive commutative ring is a right strongly Baer ideal.

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Characterizes right strongly Baer ideals in semiprime rings, suggesting implications for ring theory.

Gharabagi et al. (2025) studied this question.

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