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<p>Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.</p>

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Homomorphisms of OBCI-algebras

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Eunsuk Yang,
  • Eun Hwan Roh,
  • Young Bae Jun

摘要

Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.