The algebraic and geometric classification of nilpotent right alternative algebras
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DOI: 10.1007/s10998-021-00386-x
Abstract: We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety… read more here.
Keywords: right alternative; algebraic geometric; nilpotent right; alternative algebras ... See more keywords
*-Lie-Type Maps on Alternative *-Algebras
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DOI: 10.1142/s021949882350130x
Abstract: Let A and A ′ be two alternative ∗-algebras with identities 1A and 1A ′ , respectively, and e1 and e2 = 1A − e1 nontrivial symmetric idempotents in A . In this paper we… read more here.
Keywords: lie type; maps alternative; alternative algebras; type maps ... See more keywords