Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 4.0
19 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2023 at 6:46 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Jul 30, 2018 at 4:40 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
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| May 13, 2018 at 5:31 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
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| Dec 21, 2017 at 10:46 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
minor typos; the question has been bumped anyway
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| Nov 7, 2015 at 11:39 | review | Late answers | |||
| Nov 7, 2015 at 11:43 | |||||
| Nov 13, 2014 at 15:17 | comment | added | Ali Taghavi | @ToddTrimble Thanks for the comment. Some years ago I realy was shocked when I observed that Gelfand mazur theorem is not true! then I realized that it is not an algebra:) | |
| Nov 13, 2014 at 13:29 | comment | added | Yemon Choi | Thanks Ali and thanks @ToddTrimble for the further explanation | |
| Nov 13, 2014 at 11:58 | comment | added | Todd Trimble | @AliTaghavi You're right that $R$-multiplication induces an $F$-module ($F$-vector space) structure via the evident composite $F \times R \to R \times R \to R$. To be fair to both you and Yemon: a very common slip even among professionals is in knowing that for commutative algebras an $F$-algebra is tantamount to a homomorphism $F \to R$, but temporarily forgetting this doesn't apply in the noncommutative setting (except of course when $F$ is central in $R$) -- not rising to the level of false belief so much as a temporary slip-up. I've made that slip myself! | |
| Nov 13, 2014 at 5:44 | comment | added | Ali Taghavi | @YemonChoi I think this example is perhaps interesting unless a participant do not read it carefully. please think again to the main motivation and aim of the question of "common false..." | |
| Nov 13, 2014 at 5:31 | comment | added | Ali Taghavi | @YemonChoi the field of complex number is a subring of the ring of quaternions. So quaternions is a complex vec. space.More generaly if a ring R contains a field F then R is a F-vector space,Ok? | |
| Nov 13, 2014 at 1:34 | comment | added | Yemon Choi | Moreover, surely the quaternions are a real vector space, not a complex vector space | |
| Nov 12, 2014 at 23:43 | comment | added | Yemon Choi | This is not a common false belief except among people who do not understand the definition of an algebra over a field | |
| Nov 12, 2014 at 2:59 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Nov 12, 2014 at 2:49 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Nov 12, 2014 at 2:42 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Nov 12, 2014 at 2:35 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Nov 12, 2014 at 2:29 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| S Nov 12, 2014 at 2:15 | history | answered | Ali Taghavi | CC BY-SA 3.0 | |
| S Nov 12, 2014 at 2:15 | history | made wiki | Post Made Community Wiki by Ali Taghavi |