Ternary Kulakov algebras with elementary identity

Kulakov algebraic systems are defined and examples are constructed on the basis of known physical laws. A ternary Kulakov algebraic system of rank $(m,n,\ell)$ satisfying the axioms of physical structure is defined. A new solution of rank $(2,2,2)$ different from the known one is constructed. With the help of known binary physical structures, new ternary physical structures are constructed.

УДК 512.573 + 512.543.72

Keywords: Kulakov algebraic system, Kulakov algebra, multisorted algebra, physical structure, physical structure theory, group, boundedly exact transitive group, measure theory.