Let $k$ be a field of arbitrary characteristic.
Suppose that $A$ and $B$ are finite dimensional $k$-algebras.
Let $S$ be a finite dimensional simple $A$-module and let $T$ be a finite dimensional simple $B$-module.
Is $S \otimes_k T$ simple as $A \otimes_k B$-module?
2026-03-25 21:44:58.1774475098
Tensor product of two simple modules
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