有局部单位元的环上的Morita对偶的刻划

A Characterization of Morita Duarity on Rings with Local Units

本文证明了,设R和S都是具有局部单位元的环,若ModR的一个完全子范畴与SMod的一个完全子范畴对偶,则该对偶由一个单式双模sT_R导出。

In this paper, we prove the theorem: Let R and S be rings with local units. If there is a duality between the full subcategory of ModR and the one of SMod, then the duality is induced by a unitary bimodule _ST_R.