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The Depth of a Weak Hypersubstitution

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Abstract

In this paper the concept of the depth of a hypersubstitution, which was introduced by K. Denecke, J. Koppitz and Sl.Shtrakov, will be generalized to the depth of a weak hypersubstitution. Our goal is to describe the behavior of the depth under some mappings defined on sets of polynomials such as weak hypersubstitutions

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