论文信息 - ON 𝒯-NONCOSINGULAR MODULES

ON 𝒯-NONCOSINGULAR MODULES

Abstract In this paper we introduce 𝒯-noncosingular modules. Rings for which all right modules are𝒯-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show that the right R-module R is 𝒯-noncosingular precisely when R has zero Jacobson radical. We also study the 𝒯-noncosingular condition in association with (strongly) FI-lifting modules.

D. K. Tütüncü | R. Tribak

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