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

Amnah A. Alkinani and Ahmad M. Alghamdi

Journal of Mathematics, 2025, vol. 2025, 1-9

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4487876

DOI: 10.1155/jom/4487876

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