Search results for "Cancellative semigroup"

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Symmetric identities in graded algebras

1997

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 $ .

Discrete mathematicsCombinatoricsPolynomial (hyperelastic model)Cancellative semigroupRing (mathematics)Symmetric polynomialDegree (graph theory)LinearizationGeneral MathematicsOrder (ring theory)Elementary symmetric polynomialMathematicsArchiv der Mathematik
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A synchronization property of pure subsemigroups of a free semigroup

1981

AlgebraCancellative semigroupAlgebra and Number TheoryProperty (philosophy)SemigroupSynchronization (computer science)Algebra over a fieldMathematicsSemigroup Forum
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