Why All Rings Should Have a 1
Should the definition of ring require the existence of a multiplicative identity 1? Emmy Noether, when giving the modern axiomatic definition of a commutativering, in 1921, did not include such an axiom [15, p. 29]. For several decades, algebra books followed suit [16, x3.1], [18, I.x5]. But startin...
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| Format: | Article |
| Language: | English |
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Informa UK Limited,
2020-08-07T20:45:40Z.
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| Online Access: | Get fulltext |