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Numerical invariants of identities of unital algebras
Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-
We study polynomial identities of algebras with adjoined external unit. For a wide class of algebras we prove that adjoining external unit element leads to increasing of PI-exponent precisely to 1. ...We also show that any real number from the interval ▫$[2,3]$▫ can be realized as PI-exponent of some unital algebra.
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