%0 Journal Article %T Why all rings should have a 1 %A Bjorn Poonen %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1404.0135v1