6533b7d2fe1ef96bd125dfb2
RESEARCH PRODUCT
Symmetric identities in graded algebras
Yuri BahturinMikhail ZaicevAntonio Giambrunosubject
Discrete mathematicsCombinatoricsPolynomial (hyperelastic model)Cancellative semigroupRing (mathematics)Symmetric polynomialDegree (graph theory)LinearizationGeneral MathematicsOrder (ring theory)Elementary symmetric polynomialMathematicsdescription
Let P k be the symmetric polynomial of degree k i.e., the full linearization of the polynomial x k . Let G be a cancellation semigroup with 1 and R a G-graded ring with finite support of order n. We prove that if R 1 satisfies $ P_k \equiv 0 $ then R satisfies $ P_{kn} \equiv 0 $ .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-12-01 | Archiv der Mathematik |