Let R be a domain and K its quotient-field. For a subset S of K, let F R (S) be the set of polynomials f # K[x] with f (S ) R and define the R-closure of S as the set of those t # K for which f (t) # R for all f # F R (S ). The concept of R-closure was introduced by McQuillan (J. Number Theory 39 (1
Lattices of polynomials under substitution
โ Scribed by J. A. Kalman
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 378 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0002-5240
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๐ SIMILAR VOLUMES
Let F (n+l) q 2 be the (n + l)-dimensional vector space over the finite field F q 2 , and U n+l,n (F q 2 ) the singular Unitary groups of degree n + l over F q 2 . Let M be any orbit of subspaces under U n+l,n (F q 2 ). Denote by L the set of subspaces which are intersections of subspaces in M, wher
We show that there exist a set of polynomials {Lk 1 k = 0, 1 \* \* a} such that L,(n) is the number of elements of rank k in the free distributive lattice on n generators. L,(n) = L,(n) = 1 for all n and the degree of L, is k -1 for k 5 1. We show that the coefficients of the L, can be calculated us