Partially ordered ring
id:
partially-ordered-ring-306-14792288
title:
Partially ordered ring
text:
In abstract algebra, a partially ordered ring is a ring (A, +, ·), together with a compatible partial order, that is, a partial order ≤ on the underlying set A that is compatible with the ring operations in the sense that it satisfies: and for all x , y , z ∈ A . Various extensions of this definition exist that constrain the ring, the partial order, or both. For example, an Archimedean partially ordered ring is a partially ordered ring ( A , ≤ ) where A 's partially ordered additive group is Arc
brand slug:
wiki
category slug:
encyclopedia
description:
Ring with a compatible partial order
original url:
https://en.wikipedia.org/wiki/Partially_ordered_ring
date created:
date modified:
2022-11-14T16:56:54Z
main entity:
{"identifier":"Q7140405","url":"https://www.wikidata.org/entity/Q7140405"}
image:
fields total:
13
integrity:
14