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homogeneous polynomial (Definition)

"homogeneous polynomial" is owned by CWoo.
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See Also: homogeneous ideal, homogeneous function, homogeneous equation

Other names:  polynomial form
Also defines:  homogeneous component, cubic form, linear form

Attachments:
homogeneous equation (Topic) by pahio
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Cross-references: symmetric, symmetric polynomial, variables, counterexample, zero divisors, indeterminates, finite set, graded ring, domain, sum, finite, homogeneous function, quadratic form, monomials, expressible, homogeneous of degree, polynomial, ring, associative
There are 12 references to this entry.

This is version 14 of homogeneous polynomial, born on 2004-12-14, modified 2006-02-24.
Object id is 6577, canonical name is HomogeneousPolynomial.
Accessed 11107 times total.

Classification:
AMS MSC13B25 (Commutative rings and algebras :: Ring extensions and related topics :: Polynomials over commutative rings)
 16R99 (Associative rings and algebras :: Rings with polynomial identity :: Miscellaneous)
 16S36 (Associative rings and algebras :: Rings and algebras arising under various constructions :: Ordinary and skew polynomial rings and semigroup rings)
 11E76 (Number theory :: Forms and linear algebraic groups :: Forms of degree higher than two)

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