# subring

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Related to subring: Ring homomorphism

## subring

[′səb‚riŋ]
(mathematics)
A subset I of a ring R where I is also a ring relative to the operations of R.
A subring (of sets) is any ring (of sets) contained in some given ring (of sets).
References in periodicals archive ?
Then NQS is a neutrosophic quadruple subring if and only if for all x,y [member of] NQS, the following conditions hold:
Taking [epsilon] as component of the multiindex [lambda] [member of] [LAMBDA], we shall choose the subring A overgenerated by some [B.
For n = 2k + 1 [greater than or equal to] 3 and positive integer i, j satisfied k + 1 [greater than or equal to] i [greater than or equal to] 1, k + 1 [greater than or equal to] j [greater than or equal to] i and i [not equal to] 1 when j = k + 1, any subring of [M.
Lemma 13: Let B be a subring of A with 1 [member of] B such that B satisfies A.
An intuitionistic fuzzy subring A of R is said to be an intuitionistic fuzzy normal subring(IFNSR) of R if it satisfies the following axioms:
Our approach is to explore the representation type of H and the projective class ring of H, which is a subring of the representation ring (or Green ring) of H.
A proper subset P of <R [union] I> is called a neutosophic subring if P itself a neutrosophic ring under the operation of (R [union] I>.
This is because the cohomology of the partial flag manifold is a subring of the cohomology of the complete flag manifold.
Let us go back to the situation in Theorem 1 and suppose that R is a subring of the field C of complex numbers.
Now we show that the centre of a category crossed product is a particular subring of the direct sum of the centres of the corresponding monoid crossed products.
In the present paper our objective is to extend the above results for a ([sigma], [sigma])-derivation which acts as a homomorphism or as anti-homomorphism on a nonzero Jordan ideal and a subring J of a 2-torsion-free prime ring R, then we will generalize the above extension for a generalized ([sigma], [sigma])-derivation.
S] | |S| even}, is a subring of R and, by the previous lemma, * is an algebra involution on [R.

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