Well-semimodules And Semimodulbs Well-dimension

In this paper we investigate particular some properties of thesemimodule congeruence，subtracting semimodules and theirdimension.There have three parts in this paper.In the first section,we study the properties of expand congeruence andlimited congeruence.In the second section,we study the properties of subtractingsemimodules and know their semimodules must be quotient of the direct sumof R-semimodules,Finally,In the three section,we extend the concept of subtractingsemimodules and study the concept of their dimension, subtractingsemimodules is zero dimension.Limited dimension subtracting semimodulesfar away from subtracting semimodules if its dimension is large.