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Help to understand rings and semirings
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The definition of semiring has one additional property: 0 ⋅ 𝑥 = 𝑥 ⋅ 0 = 0.
Without the additive inverse property this new property does not follow from the others, and so, it must be listed explicitly.
How is the additive inverse used to prove 0 ⋅ 𝑥 = 𝑥 ⋅ 0 = 0 in rings ?
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