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

Rings whose modules have maximal submodules.

Carl Faith (1995)

Publicacions Matemàtiques

Similarity:

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

Similarity:

On generalization of injectivity

Roger Yue Chi Ming (1992)

Archivum Mathematicum

Similarity:

Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from p -injectivity) is considered.