Modules which are self-p-injective relative to projection invariant submodules
y | 21 sept 2017
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Publicado en línea: 21 sept 2017
Páginas: 117 - 129
Recibido: 21 feb 2016
Aceptado: 20 abr 2016
DOI: https://doi.org/10.1515/auom-2017-0010
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.