Strongly Discrete Modules

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 duall...

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Bibliographic Details
Published inCommunications in algebra Vol. 35; no. 3; pp. 897 - 913
Main Authors Ganesan, Lalitha, Vanaja, N.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 27.02.2007
Subjects
Continuous
Discrete
Epi-projective (Pseudo-projective)
Extending
Lifting
Mono-injective (Pseudo-injective)
N-injective
Quasi-discrete
Self-injective
Self-projective
Strongly discrete
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Summary: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.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870601115815