半准素环的X-Gorenstein整体投射维数

Abstract

Abstract: By using the method for handling homological dimension in homological algebra and relative homological algebra, the author proved that the (left) X-Gorenstein global projective dimension of a semiprimary ring was equal to the supremum of the set of (left) X-Gorenstein projective dimensions of all simple modules, and gave some related applications.

Key words: , semiprimary ring, Gorenstein projective module, , X-Gorenstein projective module, X-Gorenstein (global) , projective dimension

CLC Number:

O154.2

ZHAO Zhibing. Gorenstein Global Projective Dimension of Semiprimary Rings[J].Journal of Jilin University Science Edition, 2018, 56(5): 1136-1139.

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Gorenstein Global Projective Dimension of Semiprimary Rings

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