Following the work of Schur and Coleman, we prove the generalized Laguerre polynomial x j is irreducible over the rationals for all nX1 and has Galois group A n if n ΓΎ 1 is an odd square, and S n otherwise. We also show that for certain negative integer values of a and certain congruence classes of
Syzygies of a Certain Family of Generically Imperfect Modules
β Scribed by M. Artale
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 744 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We consider a Dedekind domain D and a Z-graded ring R s R with [igZ i R s D and each R s D¨being a free D-module of rank 1. The structure of R is 0 i i Ž .
IfI,: family of Bar, w) graphs ate of interest for several reasons. For example, any minimal fomenter-example to Rerge's Strong Perfect Graph Conjecture t %ngs to this family. This paper aciounts for ail (4.3) graphs. One of these is not obtainatde by existing techniques for geg~~rati~g (a + I, w) g
In the present paper, the authors introduce and investigate a new sequence of linear positive operators G,,,, which includes some well-known operators as its special cases. The results obtained here include an estimate on the rate of convergence of G,,,= (f, I) by means of the decomposition techniqu