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Commutative Energetic Subsets of BCK-Algebras

Young Bae Jun;  Eun Hwan Roh;  Seok Zun Song — 2016

Bulletin of the Section of Logic

The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.

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