Numerical Forms | Zendy

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Numerical Forms

Author(s) -

Hubbuck J. R.

Publication year - 1997

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610796004395

Subject(s) - subring , mathematics , homomorphism , ring (chemistry) , polynomial ring , integer (computer science) , homogeneous , pure mathematics , image (mathematics) , discrete mathematics , boolean ring , polynomial , combinatorics , algebra over a field , principal ideal ring , mathematical analysis , computer science , chemistry , organic chemistry , artificial intelligence , programming language

Let I be the graded ring of homogeneous rational polynomials in n ‐variables which are numerical over Z. Then I is a subring of Γ, the divided polynomial algebra over Z in the n ‐variables. A consequence of the main theorem is that for any positive integer k , the image of the induced homomorphism I ⊗(Z/ k Z) → Γ ⊗ (Z/ k Z) is a finite graded ring.

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