余代数和余模的广义余结合律

Generalized Coassociative Law for Coalgebras and Comodules

对于一个代数,结合律隐含广义结合律。对偶地,对于一个余代数C,余结合律隐含广义余结合律。更进一步,有关C-模的类似于结合律的公式,以及关于C-余模的类似于余结合律的公式。在这里我们用另一种方式重新叙述了广义结合律,并由此证明了余代数和余模的广义余结合律。

For an algebra,associativity law implies generalized associativity law,which is generalized to coalgebras,modules and comodules.So for a coalgebra,coassociativity law implies generalized coassociativity law.Furthermore,this paper gives a formula for A modules being similar to associativity law,which is called the generalized associativity law for modules.Also a formula for C comodules being similar to coassociativity law is given,which is called the generalized coassociativity law for comodules.