Abstract
In the paper, it is proved that, if f(x 1,..., x n )g(y 1,..., y m ) is a multilinear central polynomial for a verbally prime T-ideal Γ over a field of arbitrary characteristic, then both polynomials f(x 1,..., x n ) and g(y 1,..., y m ) are central for Γ.
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Original Russian Text © L. M. Samoilov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 404–408.
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Samoilov, L.M. On the primality property of central polynomials of prime varieties of associative algebras. Math Notes 99, 413–416 (2016). https://doi.org/10.1134/S000143461603010X
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DOI: https://doi.org/10.1134/S000143461603010X