Composition ring

In mathematics, a composition ring, introduced in, is a commutative ring (R, 0, +, −, ·), possibly without an identity 1 (see non-unital ring), together with an operation such that, for any three elements f,g,h\in R one has. ^[1]

8 relations: Boolean ring, Carleman matrix, Commutative ring, Composition operator, Duke Mathematical Journal, Mathematics, Polynomial decomposition, Rng (algebra).

Boolean ring

In mathematics, a Boolean ring R is a ring for which x2.

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Carleman matrix

In mathematics, a Carleman matrix is a matrix used to convert function composition into matrix multiplication.

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Commutative ring

In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.

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Composition operator

In mathematics, the composition operator C_\phi with symbol \phi is a linear operator defined by the rule where f \circ\phi denotes function composition.

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Duke Mathematical Journal

Duke Mathematical Journal is a peer-reviewed mathematics journal published by Duke University Press.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Polynomial decomposition

In mathematics, a polynomial decomposition expresses a polynomial f as the functional composition g \circ h of polynomials g and h, where g and h have degree greater than 1.

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Rng (algebra)

In mathematics, and more specifically in abstract algebra, a rng (or pseudo-ring or non-unital ring) is an algebraic structure satisfying the same properties as a ring, without assuming the existence of a multiplicative identity.

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References

[1] https://en.wikipedia.org/wiki/Composition_ring

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