A universal coefficient theorem for Gauss's lemma
| Autor: | Victor Reiner, William Messing |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | J. Commut. Algebra 5, no. 2 (2013), 299-307 |
| Popis: | We prove a version of Gauss's Lemma. It recursively constructs polynomials {c_k} for k=0,1,...,m+n, in Z[a_i,A_i,b_j,B_j] for i=0,...,m, and j=0,1,...,n, having degree at most (m+n choose m) in each of the four variable sets, such that whenever {A_i},{B_j},{C_k} are the coefficients of polynomials A(X),B(X),C(X) with C(X)=A(X)B(X) and 1 = a_0 A_0 +...+ a_m A_m = b_0 B_0 +...+ b_n B_n, then one also has 1 = c_0 C_0 +...+ c_{m+n} C_{m+n}. Comment: Minor edits; version to appear in J. Commutative Algebra |
| Databáze: | OpenAIRE |
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