| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
07 February 2025 |
|
| | | |
|
Article overview
| |
|
On modules of linear transformations | M. Rahimi-Alangi
; Bamdad R. Yahaghi
; | Date: |
1 Aug 2015 | Abstract: | Let $D$ be a division ring, $mathcal V$ and $ mathcal W$ vector spaces over
$D$, and ${mathcal L(mathcal V,mathcal W)}$ the ${mathcal L(mathcal
W)}$-${mathcal L(mathcal V)}$ bimodule of all linear transformations from
$mathcal V$ into $mathcal W$. We prove some basic results about certain
submodules of $mathcal L(mathcal V, mathcal W)$. For instance, we show,
among other results, that a right submodule (resp. left submodule) of
${mathcal L(mathcal V,mathcal W)}$ is finitely generated whenever its image
(resp. coimage) is finite-dimensional. | Source: | arXiv, 1508.0072 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|