Timeline for A non-commutative, left duo ring whose only unit is the identity
Current License: CC BY-SA 4.0
6 events
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| Jan 26, 2022 at 19:52 | comment | added | NameNo | Yes. Also: On the structure of skew polynomial rings, Gil Alon and Elad Paran. Structure of weakly one-sided duo Ore extensions doi.org/10.1007/s12044-020-00600-9 | |
| Jan 26, 2022 at 19:32 | comment | added | Salvo Tringali | @NameNo Are you implicitly referring to [G. Marks, Duo rings and Ore extensions, J. Algebra 280 (2004) 463–471] when you write that skew polynomial rings "don't give duo examples for the weakened version" of my problem"? | |
| Jan 26, 2022 at 9:18 | comment | added | NameNo | Only a weak attempt to keep alive algebra on mathoverflow. Henriksen's problem and yours can be weakened using algebras where all inverible elements are scalars (algebras over the field with two elements give the original problem). Cohn's method for the commutative case works in this setting (extending to an algebra where each non-zero divisor is a scalar). Skew polinomial rings don't give duo examples for the weakened version of your problem, but skew power series rings might (only over a field with nonidentity auto/endo/morphism). | |
| Jan 21, 2022 at 18:50 | history | edited | Salvo Tringali | CC BY-SA 4.0 |
reformulated the question
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| Jan 21, 2022 at 10:22 | history | edited | Salvo Tringali | CC BY-SA 4.0 |
added the prefix "quasi-" in the statement of the question
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| Jan 21, 2022 at 9:36 | history | asked | Salvo Tringali | CC BY-SA 4.0 |