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环的左Excellent扩张与左总体维数 被引量:1

Left Excellent Extensions of Rings and Left Global Dimensions
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摘要 利用环和模范畴的有关理论,研究环的左Excellent扩张与左总体维数,证明了当环S是环R的左Excel-lent扩张时,lgdS=lgdR,并推广了有关的结论. The theories of rings and module categories are used to study the left Excellent extensions and left global dimensions. The result shows that the left global dimension of S is equal to the left global dimension of R, where S is a left Excellent extension of R.
出处 《湖北民族学院学报(自然科学版)》 CAS 2006年第3期214-215,共2页 Journal of Hubei Minzu University(Natural Science Edition)
关键词 左Excellent 扩张 左总体维数 left Excellent extension left global dimension
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同被引文献9

  • 1毛立新,丁南庆.整体维数与Hom的左导出函子[J].中国科学(A辑),2007,37(3):312-322. 被引量:2
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