| PI—环上有限生成模的自同态的一个注记 |
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| 引用本文： | 游松发. PI—环上有限生成模的自同态的一个注记[J]. 数学杂志, 1999, 19(2): 215-217 |
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| 作者姓名： | 游松发 |
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| 作者单位： | 湖北大学 |
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| 摘 要： | 本文将交换环上有限生成模的单自同态的有关结果推广到ＰＩ－环上，得到如下类似结果。
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| 关 键 词： | PI－环 单自同态 本原环 有限生成模 自同态 |
A NOTE ON ENDOMORPHISMS OF FINITELY GENERATED MODULES OVER PI RINGS |
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| You Songfa. A NOTE ON ENDOMORPHISMS OF FINITELY GENERATED MODULES OVER PI RINGS[J]. Journal of Mathematics, 1999, 19(2): 215-217 |
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| Authors: | You Songfa |
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| Abstract: | The motivation for this paper comes from trying to extend the result on endmorphisms of finitely generated modules over commutative rings to PI-rings.In doing so we obtain a similar result. Theorem For a PI ring R .Injective endmorphisms of finitely generated R modusles are isomorphisms if and only if R is primitive. |
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| Keywords: | PI ring injective endmorphisms primitive ring finitely generated artin ring |
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