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In this paper, we introduce and study the notion of rings in which every ideal is \(S-\) weakly prime. We next study the possible transfer of the above property in the direct product, homomorphic image, localization, trivial ring extensions, and amalgamated algebra along an ideal.

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Rings in Which Every Ideal is S-Weakly Prime Ideal

  • 会议论文

  • 发表日期：

    2025年

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  • Chahrazade Bakkari,
  • Rachid Hachache

摘要

In this paper, we introduce and study the notion of rings in which every ideal is \(S-\) weakly prime. We next study the possible transfer of the above property in the direct product, homomorphic image, localization, trivial ring extensions, and amalgamated algebra along an ideal.