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math.RA2023
Generalized sharped cubic form and split spin factor algebra
Vsevolod Gubarev, Farukh Mashurov, Alexander Panasenko
There is a well-known construction of a Jordan algebra via a sharped cubic form. We introduce a generalized sharped cubic form and prove that the split spin factor algebra is induc…
math.RA2023★ 1 cited
On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev
For a non-associative algebra with a derivation , its derived algebra is the same space equipped with new operations , , $a,b\i…