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- W2016319918 abstract "Let M be a right R-module, G an ordered group and <TEX>${sigma}$</TEX> a map from G into the group of automorphisms of R. The conditions under which the Malcev-Neumann module M* ((G)) is a PS module and a p.q.Baer module are investigated in this paper. It is shown that: (1) If <TEX>$M_R$</TEX> is a reduced <TEX>${sigma}$</TEX>-compatible module, then the Malcev-Neumann module M* ((G)) over a PS-module is also a PS-module; (2) If <TEX>$M_R$</TEX> is a faithful <TEX>${sigma}$</TEX>-compatible module, then the Malcev-Neumann module M* ((G)) is a p.q.Baer module if and only if the right annihilator of any G-indexed family of cyclic submodules of M in R is generated by an idempotent of R." @default.
- W2016319918 created "2016-06-24" @default.
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- W2016319918 date "2008-08-31" @default.
- W2016319918 modified "2023-09-26" @default.
- W2016319918 title "ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES" @default.
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- W2016319918 doi "https://doi.org/10.4134/bkms.2008.45.3.445" @default.
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