2014Russian MathematicsRequires access

I*0-Modules

А. N. Abyzov

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Abstract

We study rings over which every module is an I*0 -module dual to I 0-module. We describe semiregular rings over which every module is at the same time I*0 -module and I 0-module. We give a description of rings over which every module is a direct sum of injective module and SV -module. We investigate relations between weakly Baer modules and I*0 -modules.

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We study rings over which every module is an I*0 -module dual to I 0-module. We describe semiregular rings over which every module is at the same time I*0 -module and I 0-module. We give a description of rings over which every module is a direct sum of injective module and SV -module. We investigate relations between weakly Baer modules and I*0 -modules.

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Available abstract

We study rings over which every module is an I*0 -module dual to I 0-module. We describe semiregular rings over which every module is at the same time I*0 -module and I 0-module. We give a description of rings over which every module is a direct sum of injective module and SV -module. We investigate relations between weakly Baer modules and I*0 -modules.

Key concepts: Injective module, Mathematics, Module, Projective module, Free module, Simple module, Injective function, Semisimple module

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