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math.RA2019

No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2

Zerui Zhang, Yuqun Chen, Bing Yu

The Gelfand-Kirillov dimension measures the asymptotic growth rate of algebras. For every associative dialgebra , the quotient $\mathcal{A}_\mathcal{D}:=\mathcal{D}/\m…