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Almost commutative ring
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Almost commutative ring : ウィキペディア英語版
Almost commutative ring
In algebra, a filtered ring ''A'' is said to be almost commutative if the associated graded ring \operatornameA = \oplus A_i/{A_{i-1}} is commutative.
Basic examples of almost commutative rings involve differential operators. For example, the enveloping algebra of a complex Lie algebra is almost commutative by the PBW theorem. Similarly, a Weyl algebra is almost commutative.
== See also ==

*Ore condition
*Gelfand–Kirillov dimension

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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