Abstract
Let be the associative -algebra generated by two elements and with defining relation . A complete description of simple modules over is obtained by using the results of Irving and Gerritzen. We examine the short exact sequence , where and are simple -modules. It shows that nonsplit extension only occurs when both and are one-dimensional, or, under certain condition, is infinite-dimensional and is one-dimensional.
Citation
Zheping Lu. Linhong Wang. Xingting Wang. "Nonsplit module extensions over the one-sided inverse of $k[x]$." Involve 12 (8) 1369 - 1377, 2019. https://doi.org/10.2140/involve.2019.12.1369
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