Gorenstein同调维数和环变换

Gorenstein Homological Dimensions and Change of Rings

中文关键词:  Gorenstein 投射模  Gorenstein 内射模  Gorenstein 平坦模  环变换.

英文关键词:Gorenstein projective module  Gorenstein injective module  Gorenstein flat module  change of ring.

中文摘要:

      本文,我们讨论了当环变化时, Gorenstein 同调维数将发生什么变化. 优越扩张、局部化、Morita 等价、多项式扩张和幂级数扩张这5种结构运算被考虑.

英文摘要:

      In this paper, we shall be concerned with what happens of Gorenstein homological dimensions when certain modifications are made to a ring. The five structural operations addressed later are the formation of excellent extensions, localizations, Morita equivalences, polynomial extensions and power series extensions.