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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
-2
votes
How to recognize a Hopf algebra?
In the book Hopf algebras by Eiichi Abe (1980), there is a theorem on page 57-58 that reads
that
Given a $k$-linear space $H$, suppose that there are $k$-linear maps $\mu:H\otimes H\rightarrow H$ …