We have obtained two criteria of three classes of local rings in commutative algebra with homological methods.
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戴清平.三种局部环的同调刻划[J].国防科技大学学报,1999,21(5):106-108. Dai Qingping. The Homological Criteria of Three Classes of Local Rings[J]. Journal of National University of Defense Technology,1999,21(5):106-108.