Modules characterized by their simple submodules. (Q653424)
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scientific article; zbMATH DE number 5990188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modules characterized by their simple submodules. |
scientific article; zbMATH DE number 5990188 |
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Modules characterized by their simple submodules. (English)
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19 December 2011
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The author investigates two known types of modules characterized by their simple submodules. Thus, a module is called PS (resp., FS) if every submodule is projective (resp., flat). Also, it is introduced and studied the concept of min-coherent module, defined as a module with every simple submodule finitely presented. Some closure properties are discussed and several characterizations are given.
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min-coherent modules
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PS-modules
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FS-modules
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min-flat modules
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min-injective modules
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preenvelopes
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precovers
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finitely presented simple submodules
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