ON A GENERALIZED ENTROPIC PROPERTY

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Submitted: 2025-02-23; Published: 2025-02-23

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Abstract

Let ⋅,∗, be idempotent operations on the set A, and * be a commutative operation. We prove, that if the pair (⋅,∗) satisfies the generalized entropic property, then (⋅,∗) is entropic.