Some Simple Derivations of k[x, y]

摘要

It is shown that the derivation y r ∂ _x  + (xy s  + g)∂ _y , where 0 ≤ r < s are integers, is a simple derivation of k[x, y], the polynomial ring in two variables over a field k of characteristic zero.View full textDownload full textKey WordsDerivations, Simple derivation, d-Simple ring2000 Mathematics Subject Classification13N15, 13C99Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2011.602164