|
This article is cited in 11 scientific papers (total 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.
Received: 27.08.1980
Citation:
V. A. Artamonov, “Projective nonfree modules over group rings of solvable groups”, Mat. Sb. (N.S.), 116(158):2(10) (1981), 232–244; Math. USSR-Sb., 44:2 (1983), 207–217
Linking options:
https://www.mathnet.ru/eng/sm2459https://doi.org/10.1070/SM1983v044n02ABEH000961 https://www.mathnet.ru/eng/sm/v158/i2/p232
|
Statistics & downloads: |
Abstract page: | 312 | Russian version PDF: | 107 | English version PDF: | 10 | References: | 52 | First page: | 2 |
|