Semiring
id:
semiring-204-5148535
title:
Semiring
text:
In abstract algebra, a semiring is an algebraic structure. Semirings are a generalization of rings, dropping the requirement that each element must have an additive inverse. At the same time, semirings are a generalization of bounded distributive lattices. The smallest semiring that is not a ring is the two-element Boolean algebra, for instance with logical disjunction ∨ as addition. A motivating example that is neither a ring nor a lattice is the set of natural numbers N under ordinary addition
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic ring that need not have additive negative elements
original url:
https://en.wikipedia.org/wiki/Semiring
date created:
2003-11-18T18:03:46Z
date modified:
2024-09-10T00:46:58Z
main entity:
{"identifier":"Q1333055","url":"https://www.wikidata.org/entity/Q1333055"}
image:
fields total:
13
integrity:
15