Displaying similar documents to “Linearly compact rings and strongly quasi-injective modules”

Rings whose modules have maximal submodules.

Carl Faith (1995)

Publicacions Matemàtiques

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A ring R is a right max ring if every right module M ≠ 0 has at least one maximal submodule. It suffices to check for maximal submodules of a single module and its submodules in order to test for a max ring; namely, any cogenerating module E of mod-R; also it suffices to check the submodules of the injective hull E(V) of each simple module V (Theorem 1). Another test is transfinite nilpotence of the radical of E in the sense that radα E = 0;...

Steady ideals and rings

Jan Žemlička, Jan Trlifaj (1997)

Rendiconti del Seminario Matematico della Università di Padova

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