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s-WH Modules
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This article introduces the concept of strongly-WH module which is a proper generalized of Hopfian modules. A module is called strongly-WH, briefly -WH if, any -small surjective -endomorphism of is an automorphism. We specify and provide some properties of this concept. Furthermore, we have established connections between strongly-WH modules and various other concepts. We demonstrate that every strongly-WH module is -weakly Hopfian. As well as, we provide cases in which the concepts of WH, -weakly Hopfian, and strongly-WH modules are equivalent.
University of Baghdad College of Science
Title: s-WH Modules
Description:
This article introduces the concept of strongly-WH module which is a proper generalized of Hopfian modules.
A module is called strongly-WH, briefly -WH if, any -small surjective -endomorphism of is an automorphism.
We specify and provide some properties of this concept.
Furthermore, we have established connections between strongly-WH modules and various other concepts.
We demonstrate that every strongly-WH module is -weakly Hopfian.
As well as, we provide cases in which the concepts of WH, -weakly Hopfian, and strongly-WH modules are equivalent.
.
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