Irreducible polynomial identities in anticommutative algebras

Seymour Kass, William G. Witthoft · Proceedings of the American Mathematical Society · 1970

The methods introduced by J. M. Osborn for isolating those polynomial identities worth studying in commutative algebras are here modified to yield three theorems for anticommutative algebras. The first establishes a practical criterion for the irreducibility of polynomial identities; the others list all canonical polynomials of low degree that are irreducible relative to anticommutativity.

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