💡 Words with a Similar Meaning to "Boolean ring"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| division ringnoun | (algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1. |
| commutative ringnoun | (algebra, ring theory) A ring whose multiplicative operation is commutative. |
| local ringnoun | (algebra) A commutative ring with a unique maximal ideal, or a noncommutative ring with a unique maximal left ideal or (equivalently) a unique maximal right ideal. |
| idealnoun | A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. |
| ring isomorphismnoun | (algebra) A ring homomorphism which is also a bijection. |
| ring homomorphismnoun | (algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity). |
| ringoidnoun | (mathematics) A ring-like algebraic structure. |
| product ringnoun | (mathematics, ring theory) A ring that is the direct product of rings. |
| ringnoun | (physical) A solid object in the shape of a circle. |
| integral domainnoun | (algebra, ring theory) Any nonzero commutative ring in which the product of nonzero elements is nonzero. |
| near-ringnoun | (mathematics) An algebraic structure similar to a ring but satisfying fewer axioms. They arise naturally from functions on groups. |
| simple ringnoun | (algebra, ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself). |
| ordered ringnoun | (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. |
| matrix algebranoun | (algebra) Generically, the arithmetic of matrices, involving matrix addition, scalar multiplication of matrices, matrix multiplication, and matrix inversion. |
| semiringnoun | (algebra) An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. |
| factor ringnoun | (algebra, ring theory) A quotient ring. |
| prime ringnoun | (algebra, ring theory) Any nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 or Q = 0. |
| algebra over a ringnoun | (algebra) A module (over a commutative ring R) equipped with a bilinear binary operation taking values in R. |
| right idealnoun | (algebra) A subset of a ring which is closed under right-multiplication by any element of the ring. |
| total ring of fractionsnoun | (algebra) A ring of fractions of a given ring, such that the set of allowed denominators contains all of the non-zero divisors of the given ring. |
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