Köthe conjecture
In mathematics, the Köthe conjecture is a problem in ring theory, open as of 2021. It is formulated in various ways. Suppose that R is a ring. One way to state the conjecture is that if R has no nil ideal, other than {0}, then it has no nil one-sided ideal, other than {0}. This question was posed in 1930 by Gottfried Köthe (1905–1989). The Köthe conjecture has been shown to be true for various classes of rings, such as polynomial identity rings and right Noetherian rings, but a general solution remains elusive.
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Köthe conjecture
In mathematics, the Köthe conjecture is a problem in ring theory, open as of 2021. It is formulated in various ways. Suppose that R is a ring. One way to state the conjecture is that if R has no nil ideal, other than {0}, then it has no nil one-sided ideal, other than {0}. This question was posed in 1930 by Gottfried Köthe (1905–1989). The Köthe conjecture has been shown to be true for various classes of rings, such as polynomial identity rings and right Noetherian rings, but a general solution remains elusive.
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In mathematics, the Köthe conj ...... eral solution remains elusive.
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ケーテ予想 (ケーテよそう、Köthe conjecture ...... 正しいことが証明されているが、一般的な解決には至っていない。
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In mathematics, the Köthe conj ...... eral solution remains elusive.
@en
ケーテ予想 (ケーテよそう、Köthe conjecture ...... 正しいことが証明されているが、一般的な解決には至っていない。
@ja
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Köthe conjecture
@en
ケーテ予想
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