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Synapse
February 9, 20260 citationsOpen Access

A Computational Framework for Verifying Algebraic Structures

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AKAnkush KumarAKAnkush Kumar

Key Points

  • The aim is to develop a framework for the verification of various algebraic structures.
  • Developed a computational framework for algebraic verification.
  • Evaluated properties like closure and associativity algorithmically.
  • Implemented a functional dashboard for practical demonstration.
  • Successfully verifies properties of algebraic structures such as groups and semigroups.
  • Automated verification reports enhance the analysis process.
  • Dashboard showcases practical verification capabilities.

Abstract

This work presents a computational framework for verifying algebraicstructures such as magmas, semigroups, monoids, groups, and abelian groups.The framework algorithmically evaluates closure, associativity, identity,invertibility, and commutativity, and generates automated verificationreports. A functional dashboard implementation is provided to demonstratepractical verification and analysis of abstract algebraic systems.

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Cite This Study

Kumar et al. (2026) studied this question.

synapsesocial.com/papers/69897a06f0ec2af6756e82a0https://doi.org/10.5281/zenodo.18513621
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