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On graded classical B-2-absorbing submodules.

Khaldoun Al-Zoubi1, Mohammed Ali1, Mohammad Alkhatib1

  • 1Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan.

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PubMed
Summary
This summary is machine-generated.

This paper introduces graded classical B-2-absorbing submodules, a new concept generalizing graded classical 2-absorbing submodules. We present key findings on these novel graded modules.

Keywords:
Graded classical 2-absorbing submoduleGraded classical B-2-absorbing submoduleGraded classical B-prime

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Area of Science:

  • Abstract Algebra
  • Module Theory

Background:

  • Classical 2-absorbing submodules are a fundamental concept in module theory.
  • Generalizations of these submodules are actively researched to explore new algebraic structures.

Purpose of the Study:

  • To introduce and define the novel concept of graded classical B-2-absorbing submodules.
  • To extend the understanding of absorbing submodule properties in the context of graded modules.

Main Methods:

  • The study employs abstract algebraic methods.
  • It involves the theoretical development and analysis of properties related to graded modules and submodules.

Main Results:

  • The paper establishes the definition of graded classical B-2-absorbing submodules.
  • Several theoretical results concerning these submodules are presented and proven.

Conclusions:

  • Graded classical B-2-absorbing submodules represent a significant generalization in module theory.
  • The findings contribute to the ongoing exploration of algebraic structures and their properties.