Introduces weakly f-prime ideals in commutative rings, revealing their properties and behaviors.
We introduce weakly f-prime ideals in commutative rings, where f is a ring endomorphism. This notion combines weakly prime ideals with endomorphism-prime ideals. We prove basic permanence results, characterize the non-f-prime case by the vanishing condition Pf(P) = 0, and study products, localizations, homomorphic images, amalgamations, trivial ring extensions, and pullbacks.
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Kım et al. (2026) studied this question.
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