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On modules related to McCoy modules
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Abstract
In this paper, we first investigate the relationships between the McCoy module and related modules based on their relationships in rings. After that, we improve some properties of McCoy modules and introduce ZPZC modules which extend the notion of McCoy modules. We observe the structure of ZPZC modules providing a number of examples of problems that arise naturally in the process. Finally, answers to some open questions related to the ZPZC condition are provided.
Title: On modules related to McCoy modules
Description:
Abstract
In this paper, we first investigate the relationships between the McCoy module and related modules based on their relationships in rings.
After that, we improve some properties of McCoy modules and introduce ZPZC modules which extend the notion of McCoy modules.
We observe the structure of ZPZC modules providing a number of examples of problems that arise naturally in the process.
Finally, answers to some open questions related to the ZPZC condition are provided.
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