Definitions from Wiktionary (ordered ring)
▸ noun: (algebra, order theory, ring theory) 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.
▸ noun: (algebra, order theory, ring theory) 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.
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▸ noun: (algebra, order theory, ring theory) 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.
▸ noun: (algebra, order theory, ring theory) 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.
Similar:
near-ring,
division ring,
factor ring,
local ring,
prime ring,
product ring,
total ring of fractions,
quotient ring,
subring,
ideal,
more...
Opposite:
▸ Words similar to ordered ring
▸ Usage examples for ordered ring
▸ Idioms related to ordered ring
▸ Wikipedia articles (New!)
▸ Words that often appear near ordered ring
▸ Rhymes of ordered ring
▸ Invented words related to ordered ring