Hongxu Wang, Hongchen Zhang
Abstract
In this paper the concept of an extension subset is introduced. Some operations of an extension subset are studied, the concept of an extension algebra is presented, and fuzzy algebra is proved to be isomorphic to a proper subalgebra of an extension algebra.
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In this paper the concept of an extension subset is introduced. Some operations of an extension subset are studied, the concept of an extension algebra is presented, and fuzzy algebra is proved to be isomorphic to a proper subalgebra of an extension algebra.
Key concepts: Extension (predicate logic), Subalgebra, Algebra over a field, Mathematics, Filtered algebra, Isomorphism extension theorem, Cellular algebra, Algebra representation