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Equivalence of Almost N-Automorphism-Invariant and Almost N-Pseudo-Injective Modules

Author

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  • Amnah A. Alkinani
  • Ahmad M. Alghamdi

Abstract

The objective of this work is to generalize a result of Fuchigami, Kuratomi, and Shibata, published in the Journal of Algebra and Its Applications, Vol. 23, No. 2, 24500272024. According to this result, almost N-invariant modules and almost N-injective modules are equivalent. This equivalence was established by examining the homomorphisms between their injective hulls and considering certain conditions. Furthermore, they investigated the relationship between generalized N-injective, almost N-injective, and N-almost-invariant modules. Extending this work, we introduce a new generalization of these modules, which we call almost N-automorphism-invariant modules. We examine their characteristics and injective hulls under specific isomorphism conditions. We also investigate their equivalence to almost N-pseudo-injective modules in the context of module extensions.

Suggested Citation

  • Amnah A. Alkinani & Ahmad M. Alghamdi, 2025. "Equivalence of Almost N-Automorphism-Invariant and Almost N-Pseudo-Injective Modules," Journal of Mathematics, Hindawi, vol. 2025, pages 1-9, February.
    • Handle: RePEc:hin:jjmath:4487876
    DOI: 10.1155/jom/4487876
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