Independent Studies-Mathematics 199B-WINTER 2017  Some Research Articles (updated February 10)

Jacobi-Jordan algebras (D. Burde and A. Fialowski) 2014 (8pp) (click here)

Structure and Representation of Nonassociative algebras (R. D. Schafer) Bulletin of the American Mathematical Society 1955 (16pp) (here)

Nonassociative Algebras: Some Applications (S. Gonzalez and C. Martinez) Rev. Mat. Iberoamericana 19 (2003), 385-392 (8pp) (here)

Nonassociative algebras, Yang-Baxter equations and quantum computers (R. Iordanescu, F. F. Nichita, I.M. Nichita) 2014 (7pp) (here)

Imbedding of Lie Algebras in Nonassociative Structures (R. M. Santilli) Il Nuovo Cimento 51 1967 570-576 (7pp) (here)

Universal enveloping algebras of nonassociative structures (M. Tvalavadze) Serdica Mathematical Journal 38 (2012) 433-462 (30pp) (here)

A class of nonassociative algebras including flexible and alternative algebras, operads and deformations (E. Remm and M. Goze) Journal of Generalized Lie Theory and Applications (2015)(6pp) (here)

A Brief Overview of Non-associative Algebra. A Very Personal View (D. Stanovsky) (7pp) (here)

(posted January 25) Evolution algebras (J. P. Tian) (36pp) Chapter 3 of "Evolution Algebras and their applications" by J. P. Tian---Lecture Notes in Mathematics v. 1921 (2008) (here)

(posted January 25) Evolution algebras and Markov chains (J. P. Tian) (38pp) Chapter 4 of "Evolution Algebras and their applications" by J. P. Tian---Lecture Notes in Mathematics v. 1921 (2008) (here)

(posted January 25) Algebraic structure of genetic algebras (M. L. Reed) (24pp) Bulletin of the American Mathematical Society 1997 (here)

(posted January 25) Quasigroups in cryptology (V. A. Shcherbacov) (31pp) 2010 (here)

(posted January 25) OTRU A non-associative and high speed public key cryptosystem (E. Makekian,A. Zakerolhosseini) (8pp) I.E.E.E. 2010 (here)

(posted January 25) Nonassociative algebraic system in cryptology. Protection against "meet in the middle" attack (J. Denes and T. Denes) (8pp) Quasigroups and Related Systems 8 (2001) (here)

(posted February 10) Some applications of non-associative algebraic systems in cryptology. (J. Denes and A.D. Keedwell) (49pp) Pure Mathematics and Applications Volume 12, Number 2, (2001) (here)