Timeline for Tensor of Hom spaces over an algebra
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 24, 2018 at 20:44 | comment | added | user106723 | I would guess that it is injective in the case of the free algebra, but unfortunately I don't see a proof. For the first part of your comment, see the edit. | |
| May 24, 2018 at 20:41 | history | edited | user106723 | CC BY-SA 4.0 |
long response to comment asking for clarification
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| May 16, 2018 at 12:44 | vote | accept | Jhon M. | ||
| May 16, 2018 at 12:43 | comment | added | Jhon M. | Thank you ! This is really helpfull. Although I'm not sure to really understand your first statement "For infinite-dimensional algebras", for me it seems that the main issue come from the fact that you use infinite-dimensional $k$-modules through the definition $I = J = \mathbb{N} $. Anyway, the key of your counter example is the relation in your algebra, so would you think that the statement is true in the case of a free algebra $A$ and free $k$-modules $M,N$ ? | |
| May 16, 2018 at 8:38 | history | edited | user106723 | CC BY-SA 4.0 |
added 15 characters in body
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| May 16, 2018 at 8:33 | review | First posts | |||
| May 16, 2018 at 8:51 | |||||
| May 16, 2018 at 8:30 | history | answered | user106723 | CC BY-SA 4.0 |