Word Explorer

Subring

💡 Words with a Similar Meaning to "Subring"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
submodulenounA module making up part of a larger module.
idealnounA perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
subfieldnounA smaller, more specialized area of study or occupation within a larger one
factor ringnoun(algebra, ring theory) A quotient ring.
right idealnoun(algebra) A subset of a ring which is closed under right-multiplication by any element of the ring.
near-ringnoun(mathematics) An algebraic structure similar to a ring but satisfying fewer axioms. They arise naturally from functions on groups.
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.
ringnoun(physical) A solid object in the shape of a circle.
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.
left idealnoun(algebra) A subset of a ring which is closed under left-multiplication by any element of the ring.
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.
commutative ringnoun(algebra, ring theory) A ring whose multiplicative operation is commutative.
multiringverb(chemistry) Having two or more rings of atoms.
product ringnoun(mathematics, ring theory) A ring that is the direct product of rings.
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.
localizationnoun(software engineering) The act, process, or result of making a product suitable for use in a particular country or region.
subsemiringnoun(mathematics) A subset of a semiring that is also a semiring under the same operations as the original semiring.
quotient ringnoun(algebra, ring theory) For a given ring R and ideal I contained in R, another ring, denoted R / I, whose elements are the cosets of I in R.
ring of fractionsnoun(algebra) A ring whose elements are fractions whose numerators belong to a given commutative unital ring and whose denominators belong to a multiplicatively closed unital subset D of that given ring. Addition and multiplication of such fractions is defined just as for a field of fractions. A pair of fractions a/b and c/d are deemed equivalent if there is a member x of D such that x(ad-bc)=0.

🎨 Adjectives for "Subring"

Popular adjectives used to describe this word in books.

📝 Common Phrases with "Subring"

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  • subringof
  • subringa
  • subring.
  • subringis

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