current community blog chat Mathematics Mathematics Meta Sign up or log in to customize your list. more stack exchange communities company blog Stack Exchange Inbox Reputation and Badges sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site Mathematics Questions Tags Users Badges Unanswered Ask Question Sign up × Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required. Why are rings called rings? up vote 102 down vote favorite 44 I've done some search in Internet and other sources about this question. Wh...

CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search In mathematics , and more specifically in abstract algebra , a rng (or pseudo-ring or non-unital ring ) is an algebraic structure satisfying the same properties as a ring , without assuming the existence of a multiplicative identity. The term "rng" (pronounced rung ) is meant to suggest that it is a "ring" without "i", i.e. without the requirement for an "identity element". There is no consensus in the community as to whether the existence of a multiplicative identity must be one of the ring axioms (see the history section of the article on rings ). The term "rng" was coined to alleviate this ambiguity when people want to refer explicitly to a ring without the axiom of multiplicative identity. A number of algebras of functions considered in analysis are not unital, for instance the algebra...