A note on linear derivations
Czechoslovak Mathematical Journal (2024)
- Volume: 74, Issue: 3, page 683-695
- ISSN: 0011-4642
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topPatra, Amit. "A note on linear derivations." Czechoslovak Mathematical Journal 74.3 (2024): 683-695. <http://eudml.org/doc/299308>.
@article{Patra2024,
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.},
author = {Patra, Amit},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear derivation; ring of constant; Fermat ring; Darboux polynomial; simple derivation},
language = {eng},
number = {3},
pages = {683-695},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on linear derivations},
url = {http://eudml.org/doc/299308},
volume = {74},
year = {2024},
}
TY - JOUR
AU - Patra, Amit
TI - A note on linear derivations
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 3
SP - 683
EP - 695
AB - 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.
LA - eng
KW - linear derivation; ring of constant; Fermat ring; Darboux polynomial; simple derivation
UR - http://eudml.org/doc/299308
ER -
References
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