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arxiv: 1404.0135 · v1 · pith:6MCMYF5Znew · submitted 2014-04-01 · 🧮 math.RA

Why all rings should have a 1

classification 🧮 math.RA
keywords shouldargueassociativitybecausecounterargumentsdefinitionexistenceidentity
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We argue that the definition of ring should require the existence of a multiplicative identity 1 because this requirement is part of what associativity should be. We list counterarguments in order to rebut them.

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