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Communications in Algebra Volume 22, 1994 - Issue 15
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Original Articles

Ga actions on c3 and c7

James K. Deveney Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia, 23284
&
David R. Finston Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia, 23284
Pages 6295-6302 | Received 01 Jan 1994, Published online: 27 Jun 2007

Citations (27)

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Jean Moulin Ollagnier & Andrzej Nowicki. (2004) Constants and Darboux Polynomials for Tensor Products of Polynomial Algebras with Derivations. Communications in Algebra 32:1, pages 379-389.
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JamesK. Deveney & DavidR. Finston. (2002) G a Invariants and Slices. Communications in Algebra 30:3, pages 1437-1447.
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James K. Deveney & David R. Finston. (1999) Determining local triviality of G a actions. Communications in Algebra 27:6, pages 3031-3039.
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Articles from other publishers (24)

Adrien Dubouloz, Isac Hedén & Takashi Kishimoto. (2022) Rees algebras of additive group actions. Mathematische Zeitschrift 301:1, pages 593-626.
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Arno van den Essen, Shigeru Kuroda & Anthony J. CrachiolaArno van den Essen, Shigeru Kuroda & Anthony J. Crachiola. 2021. Polynomial Automorphisms and the Jacobian Conjecture. Polynomial Automorphisms and the Jacobian Conjecture 65 89 .
Arno van den Essen, Shigeru Kuroda & Anthony J. CrachiolaArno van den Essen, Shigeru Kuroda & Anthony J. Crachiola. 2021. Polynomial Automorphisms and the Jacobian Conjecture. Polynomial Automorphisms and the Jacobian Conjecture 43 64 .
Gene FreudenburgGene Freudenburg. 2017. Algebraic Theory of Locally Nilpotent Derivations. Algebraic Theory of Locally Nilpotent Derivations 193 216 .
Shigeru Kuroda. (2015) Van den Essen's conjecture on the kernel of a derivation having a slice. Journal of Algebra and Its Applications 14:09, pages 1540003.
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Adrien Dubouloz, David Finston & Imad Jaradat. (2014) Proper triangular 𝔾 a -actions on 𝔸 4 are translations . Algebra & Number Theory 8:8, pages 1959-1984.
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Emilie Dufresne & Andreas Maurischat. (2010) On the finite generation of additive group invariants in positive characteristic. Journal of Algebra 324:8, pages 1952-1963.
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David Finston & Stefan Maubach. (2018) Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants. Canadian Mathematical Bulletin 53:1, pages 77-86.
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Philippe Bonnet. (2005) Families of k-derivations on k-algebras. Journal of Pure and Applied Algebra 199:1-3, pages 11-26.
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Shigeru Kuroda. (2005) A counterexample to the fourteenth problem of Hilbert in dimension three. Michigan Mathematical Journal 53:1.
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Shigeru Kuroda. (2004) A generalization of Roberts' counterexample to the fourteenth problem of Hilbert. Tohoku Mathematical Journal 56:4.
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Michiel de Bondt & Arno van den Essen. (2004) Singular Hessians. Journal of Algebra 282:1, pages 195-204.
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Shigeru Kuroda. (2003) A condition for finite generation of the kernel of a derivation. Journal of Algebra 262:2, pages 391-400.
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Arno van den Essen & Peter van Rossum. (2001) Triangular derivations related to problems on affine 𝑛-space. Proceedings of the American Mathematical Society 130:5, pages 1311-1322.
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Philippe Bonnet. (2002) Surjectivity of quotient maps for algebraic (?,+)-actions and polynomial maps with contractible fibers. Transformation Groups 7:1, pages 3-14.
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Joseph Khoury. (2001) On some properties of elementary derivations in dimension six. Journal of Pure and Applied Algebra 156:1, pages 69-79.
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Stefan Maubach. (2000) Triangular monomial derivations on k[X1,X2,X3,X4] have kernel generated by at most four elements. Journal of Pure and Applied Algebra 153:2, pages 165-170.
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Stefan Maubach. (2000) An Algorithm to Compute the Kernel of a Derivation up to a Certain Degree. Journal of Symbolic Computation 29:6, pages 959-970.
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G. Freudenburg. (2000) A counterexample to Hilbert's Fourteenth Problem in dimension six. Transformation Groups 5:1, pages 61-71.
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James K Deveney & David R Finston. (1999) Local Triviality of Proper Ga Actions. Journal of Algebra 221:2, pages 692-704.
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David R. Finston & Sebastian Walcher. (1998) On a Class of Additive Group Actions on Affine Three-Space. Rocky Mountain Journal of Mathematics 28:2.
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J. K. Deveney & D. R. Finston. (1997) On locally trivial G a -actions. Transformation Groups 2:2, pages 137-145.
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Christian Eggermont & Arno van den Essen. (1997) A class of triangular derivations having a slice. Journal of Pure and Applied Algebra 114:2, pages 209-215.
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James Deveney & David Finston. 1995. Automorphisms of Affine Spaces. Automorphisms of Affine Spaces 179 190 .

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