| 11. | He has also done pioneering work in non-commutative geometry.
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| 12. | Noether's normalisation lemma is a theorem in commutative algebra.
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| 13. | Namely, the diagram depicted in the right figure is commutative.
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| 14. | In 1956 he introduced the Rees decomposition of a commutative algebra.
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| 15. | For commutative rings, the left right distinction does not exist.
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| 16. | These edge weights are assumed to belong to some commutative ring.
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| 17. | Like addition and multiplication, the ethics of racial discrimination are commutative.
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| 18. | Simple, light and cheap were commutative terms in the Chapman equation.
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| 19. | The center of a division ring is commutative and therefore a field.
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| 20. | They also form a commutative unital associative algebra over the complex numbers.
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