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On a Generalization of FI-Extending Modules

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Mathematical Methods for Engineering Applications (ICMASE 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 384))

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Abstract

In this paper, we introduce modules with the property that every f-closed submodule has a complement which is a direct summand. We provide some structural properties related to the class of generalization of extending modules.

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References

  1. Birkenmeier, G. F., Müller, B. J., Rizvi, S. T., (2002). Modules in which every fully invariant submodules essential in a direct summand. Comm. Algebra 30(3), 1395–1415.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bursa Uludağ University, 16059, Bursa, Turkey

    Yeliz Kara

Authors
  1. Yeliz Kara
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Corresponding author

Correspondence to Yeliz Kara .

Editor information

Editors and Affiliations

  1. Faculty of Arts and Sciences, Ankara Hacı Bayram Veli University, Ankara, Turkey

    Fatih Yilmaz

  2. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Araceli Queiruga-Dios

  3. Faculty of Sciences, University of Salamanca, Salamanca, Spain

    María Jesús Santos Sánchez

  4. Polytechnic Institute of Coimbra (ISEC), Coimbra, Portugal

    Deolinda Rasteiro

  5. Institute of Physical and Information Technologies (ITEFI), Spanish National Research Council (CSIC), Madrid, Spain

    Víctor Gayoso Martínez

  6. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Jesús Martín Vaquero

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Kara, Y. (2022). On a Generalization of FI-Extending Modules. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_16

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