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V A Artamonov
© 1974 American Mathematical Society
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Citation V A Artamonov 1974 Math. USSR Izv. 8 490
DOI 10.1070/IM1974v008n03ABEH002117
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In this paper it is shown that the study of projective metabelian Lie algebras of finite rank reduces to a partial solution of Serre's problem on projective modules over polynomial rings. It is also observed that projective commutative-associative algebras of dimension 1 are isomorphic to the ring of polynomials in one variable over the ground field.