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1. Algebra and Number Theory

Rings, Boolean Algebras and Yang–Baxter Systems

Florin Felix Nichita
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

Abstract:

After a short discussion on the Euler’s relation, we introduce a matrix version of the Euler’s relation. We also refer to the Yang–Baxter equation, and to Yang–Baxter systems. The main part of this presentation is on the unification of rings and Boolean algebras. These new structures are related to the Yang–Baxter equation and to Yang–Baxter systems.