| 1. | This is up to isomorphism the only indecomposable module over " R ".
|
| 2. | The indecomposable modules in wild blocks are extremely difficult to classify, even in principle.
|
| 3. | Principal indecomposable modules are also called "'PIM "'s for short.
|
| 4. | In ordinary representation theory, every indecomposable module is irreducible, and so every module is projective.
|
| 5. | In all other cases, there are infinitely many isomorphism types of indecomposable modules in the block.
|
| 6. | One had the remarkable extensions of Clifford theory by Green to the indecomposable modules of group algebras.
|
| 7. | In particular, A should have two irreducible modules and six indecomposable modules, all of which are submodules of A.
|
| 8. | An indecomposable module is a non-zero module that cannot be written as a direct sum of two non-zero submodules.
|
| 9. | Every simple module is indecomposable, but there are indecomposable modules which are not simple ( e . g . uniform modules ).
|
| 10. | When q _ i = 0, the resulting indecomposable module is R itself, and this is inside the part of " M " that is a free module.
|
मोबाइल