ordered ring
ordered ring · ordered rings
A ring, R, equipped with a partial order, ≤, such that for arbitrary a, b, c ∈ R, if a…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.
Значение
значений: 2A 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.
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.
Формы
мн. число: ordered rings| Ед. число | ordered ring |
|---|---|
| Мн. число | ordered rings |
правильный
Синонимы
синонимов: 2ring equipped with a partial order:partially ordered ring
ring equipped with a total order:totally ordered ring
Однокоренные
связанных слов: 1Связанныеordered field