Weak bialgebras and Hopf algebras are generalizations of ordinary bial-gebras and Hopf algebras in the following sense: the defining axioms are the same, but the multiplicativity of the counit and comultiplicativity of the unit, are replaced by weaker axioms.
弱双代数和弱Hopf代数是通常的双代数和Hopf代数的推广:定义的公理不变,但是余单位的乘法和单位的余乘法变得更弱一些了。
参考来源 - 运用上环理论来解释弱Hopf代数·2,447,543篇论文数据，部分数据来源于NoteExpress
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