The Depth of a Hypersubstitution
Klaus Denecke, Jorg Koppitz, Slavcho Shtrakov
TL;DR
This paper derives a formula to determine the depth of the image of a term under a hypersubstitution, providing a mathematical tool for analyzing term transformations in algebraic structures.
Contribution
It introduces a formula for calculating the depth of terms after hypersubstitution, advancing the understanding of term structure transformations.
Findings
Derived a formula for the depth of hypersubstituted terms
Provides a method to analyze term transformations
Enhances algebraic structure analysis
Abstract
For given depth of a we derive a formula for the depth of the image of that term under a given hypersubstitution.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations