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<p>In this paper, we introduce a new algebraic structure called a JJ-algebra. We define the notions of JJ-subalgebras, JJ-ideals, (normal) JJ-filters, and JJ-homomorphisms, and investigate their properties. Furthermore, we study congruences and construct a quotient JJ-algebra via a normal JJ-filter.</p>

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On JJ-algebras

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Joemar C. Endam,
  • Joselito O. Jayme

摘要

In this paper, we introduce a new algebraic structure called a JJ-algebra. We define the notions of JJ-subalgebras, JJ-ideals, (normal) JJ-filters, and JJ-homomorphisms, and investigate their properties. Furthermore, we study congruences and construct a quotient JJ-algebra via a normal JJ-filter.