Displaying similar documents to “A note on the endomorphism ring of a module artinian with respect to a preradical”

Rad-supplemented modules

Engin Büyükaşik, Engin Mermut, Salahattin Özdemir (2010)

Rendiconti del Seminario Matematico della Università di Padova

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Pseudoprojective modules

Ladislav Bican, Pavel Jambor, Tomáš Kepka, Petr Němec (1979)

Mathematica Slovaca

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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;...