Pseudo-valuations on BCH-algebras with respect to subalgebras and (closed) ideals

초록

The notion of pseudo-valuations (valuations) on a BCH-algebra is introduced by using the Busneag's model ([1, 2, 3]), and a pseudo-metric is induced by a pseudo-valuation on BCH-algebras. Conditions for a real-valued function to be an I-pseudo-valuation are provided. The fact that the binary operation in BCH-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

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