| A theorem of Fong's type for graded algebras |
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| 作者姓名： | FAN Yun & ZHU Ping School of Mathematics and Statistics Central China Normal University Wuhan China School of Mathematical Science Nankai University Tianjin China |
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| 作者单位： | FAN Yun & ZHU Ping School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China School of Mathematical Science,Nankai University,Tianjin 300071,China |
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| 摘 要： | Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p'-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p'-subgroup is obtained.
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A theorem of Fong’s type for graded algebras |
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| FAN Yun & ZHU Ping School of Mathematics and Statistics,Central China Normal University,Wuhan ,China School of Mathematical Science,Nankai University,Tianjin ,China.A theorem of Fong's type for graded algebras[J].Science in China(Mathematics),2005,48(5):577-582. |
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| Authors: | Email author" target="_blank">Yun?FanEmail author Email author" target="_blank">Ping?ZhuEmail author |
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| Institution: | 1. School of Mathematics and Statistics,Central China Normal University,Wuhan,430079,China
2. School of Mathematical Science,Nankai University,Tianjin,300071,China |
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| Abstract: | Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p'-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p'-subgroup is obtained. |
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| Keywords: | group graded algebra indecomposable induced module primitive idempotent |
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