Timeline for A canonical representative in Morita equivalence class
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 10, 2015 at 18:46 | comment | added | Theo Johnson-Freyd | @EhudMeir That the basic algebra is well-defined is proved in Nesbitt+Scott. | |
| Dec 10, 2015 at 17:22 | comment | added | Benjamin Steinberg | The basic algebra is the endomorphism algebra of the direct sum of one copy of each projective indecomposable module and hence is uniquely determined. | |
| Dec 10, 2015 at 17:20 | vote | accept | Ehud Meir | ||
| Dec 10, 2015 at 17:16 | comment | added | Ehud Meir | what about the second question? is this basic algebra canonically defined? that is: can we have two nonisomorphic algebras $A$ and $B$ such that $A/J(A)\cong B/J(B)$ is commutative, and $A$ and $B$ are Morita equivalent? | |
| Dec 10, 2015 at 17:08 | comment | added | Ehud Meir | Thank you for that. By $J(B)$ I meant the Jacobson radical of $B$. I will edit it. | |
| Dec 10, 2015 at 17:03 | history | answered | Theo Johnson-Freyd | CC BY-SA 3.0 |