Deductive energetic sets in equality algebras
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Abstract
To contribute to the development of algebraic semantics, the concept of deductive energetic set in equality algebras is introduced, and several properties are investigated. The conditions under which a subset becomes deductive energetic in an equation algebra are explored, and its characterization is also obtained. The union and intersection of deductive energetic sets are examined. Equality homomorphic (pre) images and direct product of deductive energetic sets are addressed.
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