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<p>In Ciungu (<CitationRef CitationID="CR3">2021</CitationRef>), the relationship between some algebraic structures and <i>L</i>-algebras has been researched. In this paper, according to the theory of ideals in algebraic structures, such as <i>BCK</i>-algebras, we study ideals in <i>L</i>-algebras. We present definitions of positive implicative (implicative, associative, ultra, involution) ideals of <i>L</i>-algebras, and examine the relationship between them. Specially, we present conditions where they coincide.</p>

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Relationships between various ideals in L-algebra

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • S. Saidi Goraghani,
  • R. A. Borzooei

摘要

In Ciungu (2021), the relationship between some algebraic structures and L-algebras has been researched. In this paper, according to the theory of ideals in algebraic structures, such as BCK-algebras, we study ideals in L-algebras. We present definitions of positive implicative (implicative, associative, ultra, involution) ideals of L-algebras, and examine the relationship between them. Specially, we present conditions where they coincide.