Geodesic
GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS
Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 555-567

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DOI

Let A be a domain over an algebraically closed field with Gelfand–Kirillov dimension in the interval [2,3). We prove that if A has two locally nilpotent skew derivations satisfying some natural conditions, then A must be one of five algebras. All five algebras are Noetherian, finitely generated, and have Gelfand–Kirillov dimension equal to 2. We also obtain some results comparing the Gelfand–Kirillov dimension of an algebra to its subring of invariants under a locally nilpotent skew derivation. 
BERGEN, JEFFREY; GRZESZCZUK, PIOTR. GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS. Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 555-567. doi: 10.1017/S0017089514000482
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     author = {BERGEN, JEFFREY and GRZESZCZUK, PIOTR},
     title = {GK {DIMENSION} {AND} {LOCALLY} {NILPOTENT} {SKEW} {DERIVATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {555--567},
     year = {2015},
     volume = {57},
     number = {3},
     doi = {10.1017/S0017089514000482},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000482/}
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