Pseudo-ring

Revision as of 15:05, 13 June 2008 by Boy Soprano II (talk | contribs) (New page: A '''pseudo-ring''' is a ring that lacks a multiplicative identity. In other words, it is a set <math>R</math> closed under two operations, addition and multiplication, such that <mat...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A pseudo-ring is a ring that lacks a multiplicative identity. In other words, it is a set $R$ closed under two operations, addition and multiplication, such that $(R,+)$ is an abelian group, $(R,\cdot)$ is an associative magma, and multiplication is doubly distributive over addition.

By virtue of terrible pun, pseudo-rings are also called rngs (rings without i, the identity).

Ideals, divisors, and multiples may be defined as with rings.

This article is a stub. Help us out by expanding it.

See also

Invalid username
Login to AoPS