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We gather some basic facts concerning algebra endomorphisms of Weyl algebras $ A_n(k)$ for fields $ k$ with positive characteristic $ p$. These facts could lead some preliminary results on Dixmier conjecture.

Preliminaries on Dixmier conjecture

Yoshifumi Tsuchimoto

(To appear in Mem. Fac. Sci. Kochi Univ. (Math.) 24 (2003))

Key words and phrases: Jacobian conjecture, Dixmier conjecture, Noncommutative algebra

1991 Mathematics Subject Classification: 14R15(16W20)