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Universal decomposition algebras and the classification of 2-generated non-primitive axial algebras of Jordan type (2207.01225v1)
Published 4 Jul 2022 in math.RA
Abstract: Decomposition algebras and axial decomposition algebras are classes of commutative nonassociative algebras which are generalizations of axial algebras. The classes decomposition algebras, axial decomposition al;gebras and non-primitive axial algebras also have univesal algebras. Furthermore, by using the existence of a universal algebra, 2-generated non-primitive axial algebras of Jordan type is classified.
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