In a commutative ring of characteristic $2$, I want to show that the idempotents form a subring. It's probably easiest to directly test that the set of forms a subring. It is easy to verify that the identity element is in the subring, but I'm having trouble verifying the other two properties.
2026-03-25 18:31:26.1774463486
Idempotents in commutative ring of characteristic 2 form a subring
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