Algebraic Structures and Applications: From Transformation Semigroups to Cryptography, Blockchain, and Computational Mathematics
Michael N. John, Etim, Uduak James, Udoaka Otobong. G
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
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
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
