Definitions for RNG
This page provides all possible meanings and translations of the word RNG
An algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element.
Origin: From ring, with i dropped suggesting the absence of identity element.
In mathematics, and more specifically in abstract algebra, a pseudo-ring is one of the following variants of a ring: A rng, i.e., a structure satisfying all the axioms of a ring except for the existence of a multiplicative identity. A set R with two binary operations + and · such that is an abelian group with identity 0, and and for all a, b, c in R. An abelian group equipped with a subgroup B and a multiplication B × A → A making B a ring and A a B-module. No two of these definitions are equivalent, so it is best to avoid the term "pseudo-ring" or to clarify which meaning is intended.
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