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Perfect ring : ウィキペディア英語版
Perfect ring

In the area of abstract algebra known as ring theory, a left perfect ring is a type of ring in which all left modules have projective covers. The right case is defined by analogy, and the condition is not left-right symmetric, that is, there exist rings which are perfect on one side but not the other. Perfect rings were introduced in .
A semiperfect ring is a ring over which every finitely generated left module has a projective cover. This property is left-right symmetric.
==Perfect ring==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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