This article is cited in 11 papers

Projective nonfree modules over group rings of solvable groups

V. A. Artamonov


Abstract: For a rather large class of commutative rings $k$ and locally solvable groups $G$ it is shown that there exist at least countably many nonisomorphic left ideals $P$ in the group algebra of $G$ such that $P\oplus kG\simeq kG+kG$.
Bibliography: 12 titles.

UDC: 519.443

MSC: Primary 16A27, 16A50; Secondary 20F16, 20E25

Received: 27.08.1980

 English version: Mathematics of the USSR-Sbornik, 1983, 44:2, 207–217

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