Research article

Neutrosophic modules over modules

  • Received: 03 November 2024 Revised: 11 December 2024 Accepted: 19 December 2024 Published: 25 December 2024
  • MSC : 20K27, 08A72, 20N25

  • A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided.

    Citation: Ali Yahya Hummdi, Amr Elrawy, Ayat A. Temraz. Neutrosophic modules over modules[J]. AIMS Mathematics, 2024, 9(12): 35964-35977. doi: 10.3934/math.20241705

    Related Papers:

  • A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided.



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