A → B,f 是平坦同态, M 是A-模, 本文给出了idAM 与idB(M○×AB) 的不等式关系。
Abstract:
F is a flat homomorphism from ring A to ring B. M is a A-module. We have obtained the inequation between idAM and idB(M○×AB).
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戴清平,刘青宝.平坦同态下模的内射维数[J].国防科技大学学报,1997,19(4):106-109. Dai Qingping, Liu Qingbao. Injective Dimension under Flat Base Change[J]. Journal of National University of Defense Technology,1997,19(4):106-109.