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Exploring EADS Modules: Properties, Direct Sums, and Applications in Matrix Rings

Author

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  • Farnaz Davachi Miandouab
  • Canan Celep Yücel
  • Huadong Su

Abstract

We introduce the concept of an EADS module, defined such that for any decomposition M=A⊕B and any ec-complement C of A in M, the module satisfies M=A⊕C. This study explores the properties of EADS modules and examines their relationships with other established properties. We particularly investigate the behavior of EADS modules concerning direct sums and direct summands. In addition, we present applications, including matrix rings over a right EADS ring.

Suggested Citation

  • Farnaz Davachi Miandouab & Canan Celep Yücel & Huadong Su, 2024. "Exploring EADS Modules: Properties, Direct Sums, and Applications in Matrix Rings," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, September.
    • Handle: RePEc:hin:jjmath:9159580
    DOI: 10.1155/2024/9159580
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