Ringlike Structures
The following structures include generalizations and other algebraic objects similar to rings.
- Nearring
- A structure that is a group under addition, a semigroup under multiplication, and whose multiplication distributes on the right over addition.
- Rng
- An algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element. The term "rng" is meant to suggest that it is a "ring" without an "identity".
- Semiring
- An algebraic structure satisfying the same properties as a ring, except that addition need only be an abelian monoid operation, rather than an abelian group operation. That is, elements in a semiring need not have additive inverses.
Read more about this topic: Glossary Of Ring Theory
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