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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 9 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 10623 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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