Chains of Time-Dependent Algebras and Applications to Cryptography

Conferenciante: Bobomurad Narkuziev (Kimyo International University in Tashkent branch Samarkand, Uzbekistan)

Abstract: In this talk, we examine a time-dependent family of two-dimensional algebras. We investigate the conditions under which any two algebras from this family, formed at different times, are isomorphic. Our findings reveal that the flow comprises of uncountably many pairwise non-isomorphic algebras, including one commutative algebra. The properties of these algebras are described and used for applications in cryptography.