ON SOME WEAKLY-LIKE GENERALIZATIONS OF PRIME IDEAL OF COMMUTATIVE RINGS
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Date
2025-08-04
Authors
Hashish, Magdy
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Publisher
An-Najah National University
Abstract
This thesis studies generalizations of prime ideals, including weakly prime and S-prime ideals. We present their main properties, characterizations, and examples, and explore their relation to ordinary prime ideals. The work also examines these concepts in the context of -Noetherian rings and concludes with their transfer to trivial ring extensions