Abstract
We study properties of free solvable p-algebras and of p-algebras of primary orders. It is shown that a free solvable p-algebra is embeddable in a subdirect product of algebras with these orders. An example of a simple non-Abelian p-algebra of a primary order is constructed, and we also give an example of a solvable non-nilpotent p-algebra of any finite order not less than 6.
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