Acerca de álgebras báricas satisfaciendo \((x^2)^2 = w(x)^3x *\)
Author
Catalán, Abdón
Costa, Roberto
Abstract
Let (A, 𠜔) be a baric algebra, we define the E-ideal associated to the train polynomial p(ð “ ) = ð “ n + y1𠜔(ð “ )ð “ n-1 + ... + yn-1𠜔(ð “ )n-1ð “ , by the ideal EA(p) de A generated by all p(a), a ⋲ A. Different train polynomials may give rise to the same E-ideal. Two train polynomials p(ð “ ) and q(ð “ ) are equivalent when EA(p) = EA(q). We prove tbat for baric algebras satisfying (ð “ ²)² = 𠜔(ð “ )³ð “ there are 3 equivalence classes of train polynomials.