A note on linear derivations.
| Autor: | Patra, Amit |
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| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| Abstrakt: | Abstract: At first we prove some results on a general polynomial derivation using few results of linear derivation. Then we study the ring of constants of a linear derivation for some rings. We know that any linear derivation is a nonsimple derivation. In the last section we find the smallest integer $w > 1 $ such that the polynomial ring in $n$ variables is $w$-differentially simple, all $w$ derivations are nonsimple and the $w$ derivations set contains a linear derivation. |
| Databáze: | Katalog Knihovny AV ČR |
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