关于θ[H]-模的诱导模不可分直和项的讨论

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

关于θ[H]-模的诱导模不可分直和项的讨论

(1.吉首大学数学与计算机科学系，湖南吉首 416000;2.广州建筑工程学校，广东广州510000)

出版日期:2003-06-15 发布日期:2012-11-07
作者简介:杨玉英(1970-)，女，湖南省靖州县人，硕士，吉首大学数学与计算机科学系讲师，主要从事代数学研究.

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

(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

摘要/Abstract

摘要：对于绝对不可分模N，T＝Ｇ为N的惯性群，G／Ｈ为循环群，｜Ｇ／Ｈ｜＝ｎ．Ｆ为任意域，ｆ0是F中某特定元，若存在ａ∈Ｆ，使ｆ0＝ａｎ，则Ｎ↑Ｇ的不可分直和项的个数等于Ｆ[Ｇ／Ｈ]的不可分直和项的个数.

关键词： 绝对不可分模, 诱导模, 不可分直和项

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

杨玉英, 贺江春. 关于θ[H]-模的诱导模不可分直和项的讨论[J]. journal6, 2003, 24(2): 57-59.

YANG Yu-Ying, HE Jiang-Chun. The Discussion of the Indecomposable Direct Summand of the Induced Module From θ[H]-Module[J]. journal6, 2003, 24(2): 57-59.