학술저널
We prove a few properties of A°. Let A be a reflexive algebra. If pM : M →M ⓧ A° is the comodule structure map of the right A° -comodule M, and M is a rational A°* - module and J is a two sided ideal of A such that JM 二 0, then pm(M) ⊆ M ⓧ ( J ⊥ ∩A°), i.e. M is a right comodule over the subcoalgebra J ⊥ (∩A° of A°. Let A be a finite dimensional algebra. If M is a right A°-comodule with comodule structure map φ : M →M ⓧ A° and B = (ann A (M)) ⊥ ， then B∩A° is the smallest subcoalgebra of A° such that φ (M) ⊆ Mⓧ (B∩A°).
algebracoalgebra;finite dual
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