This article is cited in 11 papers

Projective modules over quantum polynomial algebras

V. A. Artamonov


Abstract: A multiparameter algebra of quantum polynomials with coefficients in an arbitrary division algebra is considered. It is shown that if the multiparameters are in general position, then projective modules of rank at least two over the algebra are free.

UDC: 512.55

MSC: Primary 16S35, 16D40, 16S36, 16W30; Secondary 16E20, 17B37, 16P50, 19B10, 19A13

Received: 19.05.1993

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1995, 82:2, 261–269

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