# two-sided ideal

## two-sided ideal

[′tü ¦sīd·əd ī′dēl]
(mathematics)
A two-sided ideal I is a sub-ring of a ring R where the products xy and yx are always in I for every x in R and y in I.
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References in periodicals archive ?
n](a, b, c, d, e, f) is a two-sided ideal of complexity n.
Similarly we can show that [N (L) [union] N (S) N (L)] is a neutrosophic two-sided ideal of N(S).
n] - [lambda]) is a two-sided ideal of [mathematical expression not reproducible].
n] two-sided ideal of R, n [greater than or equal to] 1 a fixed integer such that [a[[r.
6] that I is the largest liminal two-sided ideal of A.
In other words, let A be any algebra, and I be a two-sided ideal in A.
n]) [member of] l and I be a two-sided ideal in a topological algebra A.
In particular we need to recall that, when R is prime and I a two-sided ideal of R, then I, R and U satisfy the same generalized polynomial identities [3] and also the same differential identities [10].
Let A be a unital left TQ-algebra (right TQ-algebra and TQ-algebra) and I a closed two-sided ideal in A, then the quotient algebra A/1 is a left TQ-algebra (right TQ-algebra and TQ-algebra).
If I is both left and right ideal of R, we say I is a two-sided ideal, or simply ideal, of R.
1]), s [member of] G, are units in A, then every intersection of a nonzero two-sided ideal of A [[?

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