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Two-dimensional left (right) unital algebras over algebraically closed fields and $\mathbb{R}$

Published 19 Dec 2017 in math.RA | (1712.06731v3)

Abstract: In this paper we describe all, up to isomorphism, left unital, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and $\mathbb{R}$. We tabulate the algebras with the units.

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