遗传余代数与二次型

Hereditary Coalgebras and Quadratic Forms

给出1类重要的遗传余代数——正规的广义路余代数,在余代数上定义了3种二次型,证明了在Gabriel箭图是局部有限的遗传余代数上定义的这3种二次型一致。

As generalization,the author proves that normal generalized path coalgebras are hereditary.Similar as the discussion about quadratic forms on hereditary algebras,the author defines three kinds quadratic forms on coalgebras and proves that they are the same when coalgebras,with local finite Gabriel quivers,are hereditary.