The generalized entropic property for a pair of operations
Amir Ehsani · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2011
In this paper a generalized entropic property is defined for a pair of operations. We show that for an idempotent algebra A = ( A, f, g ) with two ternary operations, if one of f or g is commutative and the pair of operations ( f, g ) satisfies the generalized entropic property, then ( f, g ) is entropic. Also, it is proved that every idempotent, commutative algebra A = ( A, f, g ) with a ternary and a binary operation, satisfying the generalized entropic property, is entropic.