Approximaitly Quasi-primary Submodules

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Ali Sh. Ajeel Omar A. Abdulla Haibat K. Mohammadali


      In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module  over a commutative ring  with identity. This concept is a generalization of prime and primary submodules, where a proper submodule  of an -module  is called an approximaitly quasi-primary (for short App-qp) submodule of , if , for , , implies that either  or , for some . Many basic properties, examples and characterizations of this concept are introduced.

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SH. AJEEL, Ali; A. ABDULLA, Omar; K. MOHAMMADALI, Haibat. Approximaitly Quasi-primary Submodules. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 33, n. 4, p. 92-101, oct. 2020. ISSN 2521-3407. Available at: <>. Date accessed: 29 nov. 2020. doi: