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

Yeliz Kara; Adnan Tercan

doi:10.1515/auom-2017-0010

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 1 (January 2017)

By: Yeliz Kara and Adnan Tercan

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 117 - 129

Submitted on: Feb 21, 2016

Accepted on: Apr 20, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

injective module,

projection invariant submodule,

Related subjects:

© 2017 Yeliz Kara, Adnan Tercan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 1 (January 2017)