TY - JOUR ID - TI - Pseudo Quasi-2-Absorbing Submodules and Some Related Concepts AU - Omar A. Abdulla PY - 2019 VL - 32 IS - 2 SP - 114 EP - 122 JO - Ibn Al-Haitham Journal For Pure and Applied Sciences مجلة ابن الهيثم للعلوم الصرفة والتطبيقية SN - 16094042 25213407 AB - Let be a ring and let be a unitary left -module. A proper submodule of an -module is called 2-absorbing , if , where implies that either or or [ ], and a proper submodule of an -module is called quasi-prime , if , where implies that either or . This led us to introduce the concept pseudo quasi-2-absorbing submodule, as a generalization of both concepts above, where a proper submodule of an -module is called a pseudo quasi-2-absorbing submodule of , if whenever ,where implies that either or or , where is socal of an -module . Several basic properties, examples and characterizations of this concept are given. Moreover, we investigate relationships between pseudo quasi-2-absorbing submodule and other classes of submodules.

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