IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND MATHEMATICAL THEORY (IJCSMT )

E-ISSN 2545-5699
P-ISSN 2695-1924
VOL. 9 NO. 5 2023

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Algebraic Structures and Applications: From Transformation Semigroups to Cryptography, Blockchain, and Computational Mathematics

Michael N. John, Etim, Uduak James, Udoaka Otobong. G

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Abstract

This research delves into the multifaceted applications of transformation semigroups, leveraging insights from algebraic cryptography, group theory, blockchain technology, and computational mathematics. Through a comprehensive exploration, we unveil novel cryptographic protocols, enhance blockchain consensus algorithms, develop efficient computational methods, and apply these algebraic structures to advance mathematical finance. The study unfolds a rich tapestry of interconnected ideas, providing a bridge between abstract algebra and real-world technological challenges

keywords:

Transformation semigroups, Algebraic cryptography, Group theory, Blockchain technology, Computational mathematics, Cryptographic protocols, Consensus algorithms, Computational methods, Mathematical

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References:

Schein, B. M. (1969). Algebraic Theory of Semigroups. Academic Press.

Holt, D., Pfitzmann, B. (2003). Group Theory and Cryptography. Springer.

Narayanan, A., Bonneau, J., Felten, E., Miller, A., & Goldfeder, S. (2016). Blockchain Basics:
A Non-Technical Introduction.arXiv preprint arXiv:1608.00771

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