journal6 ›› 2003, Vol. 24 ›› Issue (2): 57-59.

• Mathematics • Previous Articles     Next Articles

The Discussion of the Indecomposable Direct Summand of the Induced Module From θ[H]-Module


  1. (1.Dept. of Math. and Computer Science,Jishou University,Jishou 416000,Hunan China;2.Guangzhou Construction Engineering School,Guangzhou 510000,China)
  • Online:2003-06-15 Published:2012-11-07

Abstract: For absolutely indecomposable module N,T=G is the inertial group of N,G/H is the circulant group,|G/H|=n.F is an arbitrary domain,and f0 is a unit of F,if a∈F,and f0=an,the number of N↑G indecomposable direct summand equals the number of F[G/H] indecomposable direct summand.

Key words: absolutely indecomposable module, induced module, indecomposable direct summand

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