Algebras with Polynomial Identity Non-Matrix Varieties Engel Property Lie Nilpotency Semigroup Identities Forbidden Algebras Varieties of Associative Algebras
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 473p-496p
We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems.