Abstract
Let τn be a type of algebras with the n-ary operation symbols, for a fixed integer In this article, we introduce terms of type τn called order-decreasing full terms. We prove that the set of all order-decreasing full terms of type τn is closed under the superposition operation; and hence it forms an algebra denoted by Moreover, we prove that is a Menger algebra of rank n. Finally, we introduce and study order-decreasing full hypersubstitutions and the related order-decreasing full closed identities and order-decreasing full closed varieties.
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