<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Modules which are self-p-injective relative to projection invariant submodules

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Modules which are self-p-injective relative to projection invariant submodules"}

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...

Modules which are self-p-injective relative to projection invariant submodules

Published Online: Sep 21, 2017

Page range: 117 - 129

Received: Feb 21, 2016

Accepted: Apr 20, 2016

DOI: https://doi.org/10.1515/auom-2017-0010

Keywords
injective module, projection invariant submodule, PI-extending module, extending module

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Modules which are self-p-injective relative to projection invariant submodules

Published Online: Sep 21, 2017

Page range: 117 - 129

Received: Feb 21, 2016

Accepted: Apr 20, 2016

DOI: https://doi.org/10.1515/auom-2017-0010

Keywordsinjective module, projection invariant submodule, PI-extending module, extending module

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
injective module, projection invariant submodule, PI-extending module, extending module