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<p>In this paper, we investigate some properties of <i>S</i>-radical which is a generalization of classical radical. We moreover, determine <i>S</i>-radical of several types of ideals. Then we introduce the notion of strongly <i>S</i>-<i>n</i>-ideals that is an intermediate class between <i>n</i>-ideals and <i>S</i>-<i>n</i>-ideals. We investigate many properties of this class of ideals with illustrative examples. Finally, we obtain some results related to strongly <i>S</i>-<i>n</i>-ideals in amalgamated algebra.</p>

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S-radical of an ideal and strongly S-n ideals

  • 期刊论文

  • 发表日期：

    2025年7月8日

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  • Ünsal Tekir,
  • Eda Yıldız,
  • Hani A. Khashan,
  • Ece Yetkin Çelikel

摘要

In this paper, we investigate some properties of S-radical which is a generalization of classical radical. We moreover, determine S-radical of several types of ideals. Then we introduce the notion of strongly S-n-ideals that is an intermediate class between n-ideals and S-n-ideals. We investigate many properties of this class of ideals with illustrative examples. Finally, we obtain some results related to strongly S-n-ideals in amalgamated algebra.