Numerical invariants of identities of unital algebras
classification
🧮 math.RA
keywords
algebrasexternalidentitiespi-exponentunitunitaladjoinedadjoining
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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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