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Let A and B be associative algebras treated over a same field F. We say that the algebras A and B

incidence algebras of order 4 over a field. We also consider the isomorphism problem for special classes

incidence algebras of order 4 over a field. We also consider the isomorphism problem for special classes

are considered. In the first case, all algebras with the mentioned conditions are classified up to isomorphism

-subalgebras (Jordan-Banach) of JBW algebras (dual Jodan-Banach) is implemented naturally by a Jordan isomorphism

of the Vladimirov multiplicative algebra. We also considerthe method of constructing solutions of this equation..

that each such an inductive limit is isomorphic to a reduced semigroup C*-algebra defined by a semigroup

and the ordered field of real algebraic numbers have isomorphic presentations computable in polynomial time

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