# subring

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Related to subring: Ring homomorphism

## sub·ring

(sŭb′rĭng′)
n. Mathematics
A subset of a ring that is itself a ring.

## subring

(ˈsʌbˌrɪŋ)
n
a mathematical ring that is contained inside another ring, so the multiplication and addition of the inner ring will affect the outer ring
Translations
sottoanello
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References in periodicals archive ?
The idea of intutionistic L-fuzzy subring was introduced by K.
Construction ms central 40 (ostring) an additional medium-voltage ring structure (subring or ostring 40) must be built for the av and sv power supply.
By imposing the vanishing condition mD on both sides of (0.1), we also obtain an isomorphism between the canonical ring [mathematical expression not reproducible] of [S.sub.[GAMMA]] and the following subring of [[direct sum].sub.m][M.sub.3m]([GAMMA]):
Let D be a division ring and let R be the following subring of [M.sub.3] (D) :
where a, c, e, g, 2b, 2d, 2f, 2h [member of] Z with [bar.2b] = [bar.2d] and [bar.2f] = [bar.2h], denoted by [bar.H](Q[[square root of (2)]]), is a subring of H(Q[[square root of (2)]]).
(1) [LAMBDA] a set of indices, A a solid subring of the ring [K.sup.[LAMBDA]] (that is to say, for any [mathematical expression not reproducible] (i.e., for any [lambda], [absolute value of ([s.sub.[lambda]])] [less than or equal to] [r.sub.[lambda]]), then [([s.sub.[lambda]]).sub.[lambda]] [member of] A), and [I.sub.A] a solid ideal of A;
Then the ring [mathematical expression not reproducible] is a commutative subring of [mathematical expression not reproducible].
The homology and cohomology of the affine Grassmannian thus acquire an algebra structure; it follows from Bott's work  that [H.sub.*](Gr) and [H.sup.*](Gr) can be identified with a subring [[LAMBDA].sub.(n)] and a quotient [[LAMBDA].sup.(n)] of the ring [LAMBDA] of symmetric functions.
Let [R.sub.c] [less than or equal to] End A be the subring of R generated by the commutator actions:

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