Sums and commutators of homogeneous locally nilpotent derivations of fiber type
- Autores: Elena Romaskevich
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 3, 2014, págs. 448-455
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.06.014
- Enlaces
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Resumen
Let A be a commutative associative integrally closed k-algebra without zero divisors effectively graded by a lattice. We obtain a criterion of local nilpotency of the sum of two homogeneous locally nilpotent derivations (LNDs) of fiber type on A in terms of their degrees. The same problem is solved for commutators of two homogeneous LNDs.
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