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 starti...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Informa UK Limited
2020
|
| Online Access: | https://hdl.handle.net/1721.1/126525 |