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Questions about non-associative algebras other than Lie algebras.

1 vote
0 answers
165 views

Nonassociative algebras closed under $\sqrt{\ }$?

Consider a non-associative commutative unital algebra of finite dimension where the product is defined by a Cayley table such that elements are generated with real number coefficients $(a_0, \dotsc, a …
mick's user avatar
  • 769
0 votes
0 answers
166 views

When does this commutative non-associative algebra have nilpotent elements?

Consider a non-associative commutative unital algebra of finite dimension where the product is defined by a Cayley table such that elements are generated with real number coefficients $(a_0, \dotsc, a …
mick's user avatar
  • 769