Skew-convex function rings and evaluation of skew rational functions
Masood Aryapoor
TL;DR
This paper introduces a new class of rings called skew-convex function rings and presents methods for evaluating skew rational functions, extending the product formula for skew polynomials to quotients.
Contribution
It develops a novel framework for skew-convex function rings and provides a new evaluation method for skew rational functions based on the product formula.
Findings
Constructed a new class of rings called skew-convex function rings.
Developed a method for evaluating quotients of skew polynomials.
Extended the product formula to evaluate skew rational functions.
Abstract
The product formula for evaluating products of skew polynomials is used to construct a class of rings. As an application, we present a method of evaluating quotients of skew polynomials.
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Taxonomy
TopicsAdvanced Algebra and Logic · Multi-Criteria Decision Making