Jelena Jovanovic

Omitting Unary and Affine Types Jelena Jovanovic

In this manuscript we examine the possibility of describing some properties of finite algebras by systems consisting of constant number of term-equations. More precisely we are interested in describing finite algebras omitting Hobby-McKenzie types 1 and 2 by systems of linear identities on two at most ternary terms. It is shown that there exists a single system on two ternary terms that might describe this property. However, whether it does or not remains for further examination.