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2007•Communications in AlgebraRequires access

Strongly Discrete Modules

Lalitha Ganesan, N. Vanaja

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Abstract

We call supplemented self-projective modules “strongly discrete modules.” We characterize discrete and strongly discrete modules in terms of lifting of maps and prove some of their properties. We show that epi-projective lifting modules are precisely the strongly discrete modules and dually mono-injective extending modules are precisely the self-injective modules. We also prove that vN-injective modules are precisely the self-injective modules.

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We call supplemented self-projective modules “strongly discrete modules.” We characterize discrete and strongly discrete modules in terms of lifting of maps and prove some of their properties. We show that epi-projective lifting modules are precisely the strongly discrete modules and dually mono-injective extending modules are precisely the self-injective modules. We also prove that vN-injective modules are precisely the self-injective modules.

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Available abstract

We call supplemented self-projective modules “strongly discrete modules.” We characterize discrete and strongly discrete modules in terms of lifting of maps and prove some of their properties. We show that epi-projective lifting modules are precisely the strongly discrete modules and dually mono-injective extending modules are precisely the self-injective modules. We also prove that vN-injective modules are precisely the self-injective modules.

Key concepts: Injective function, Injective module, Mathematics, Projective module, Pure mathematics, Projective test, Module, Divisible group

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