Linear derivations with rings of constants generated by linear forms
Piotr Jędrzejewicz
Colloquium Mathematicae, Tome 111 (2008), p. 279-286 / Harvested from The Polish Digital Mathematics Library
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Let k be a field. We describe all linear derivations d of the polynomial algebra k[x₁,...,xₘ] such that the algebra of constants with respect to d is generated by linear forms: (a) over k in the case of char k = 0, (b) over k[x₁p,...,xₘp] in the case of char k = p > 0.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284043 
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     title = {Linear derivations with rings of constants generated by linear forms},
     journal = {Colloquium Mathematicae},
     volume = {111},
     year = {2008},
     pages = {279-286},
     zbl = {1183.12004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-9}
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Piotr Jędrzejewicz. Linear derivations with rings of constants generated by linear forms. Colloquium Mathematicae, Tome 111 (2008) pp. 279-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-9/