Almost commutative ring

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Template:One source In algebra, a filtered ring A is said to be almost commutative if the associated graded ring grA=Ai/Ai1 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

References


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