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Honest submodules

Pascual Jara (2007)

Czechoslovak Mathematical Journal

Lattices of submodules of modules and the operators we can define on these lattices are useful tools in the study of rings and modules and their properties. Here we shall consider some submodule operators defined by sets of left ideals. First we focus our attention on the relationship between properties of a set of ideals and properties of a submodule operator it defines. Our second goal will be to apply these results to the study of the structure of certain classes of rings and modules. In particular...

Injective and projective properties of R [ x ] -modules

Sangwon Park, Eunha Cho (2004)

Czechoslovak Mathematical Journal

We study whether the projective and injective properties of left R -modules can be implied to the special kind of left R [ x ] -modules, especially to the case of inverse polynomial modules and Laurent polynomial modules.

Kappa-Slender Modules

Radoslav Dimitric (2020)

Communications in Mathematics

For an arbitrary infinite cardinal κ , we define classes of κ -cslender and κ -tslender modules as well as related classes of κ -hmodules and initiate a study of these classes.

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