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Projection invariant-extending property on dominant submodules

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Akademik Birimler

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Eroğlu, Nuray
Kara, Yeliz
Tercan, Adnan

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Southeast Asian Mathematical Soc-seams

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A well known generalization of the extending concept is projection invariant extending property. In this trend, a module is called 7r-extending if every projection invariant submodule is essential in a direct summand of the module. Based on an annihilator condition, dominant submodules are introduced in the literature. In this paper, we introduce and investigate projection invariant-extending property on dominant submodules of a module.

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Dominant submodule, Extending module, Projection invariant submodule, Pi-extending module, Science & technology, Physical sciences, Mathematics

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