ordered ring (English, noun)
expansion: ordered ring (plural ordered rings)
Senses:
topics: algebra
mathematics
order-theory
sciences
qualifier: ring theory
glosses: A ring, R, equipped with a partial order, ≤, such that for arbitrary a, b, c ∈ R, if a ≤ b then a + c ≤ b + c, and if, additionally, 0 ≤ c, then both ca ≤ cb and ac ≤ bc.
topics: algebra
mathematics
order-theory
sciences
qualifier: ring theory
glosses: A ring, R, equipped with a total order, ≤, such that for arbitrary a, b, c ∈ R, if a ≤ b then a + c ≤ b + c, and if, additionally, 0 ≤ c, then both ca ≤ cb and ac ≤ bc.
Forms:
form: ordered rings
tags: plural