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

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

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 semigroupsAlgebraic cryptographyGroup theoryBlockchain technologyComputational mathematicsCryptographic protocolsConsensus algorithmsComputational methodsMathematical

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

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

Abstract

Keywords

References

More Articles from INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND MATHEMATICAL THEORY