Approximaitly quasi-primary submodules

Joint Authors

Ali, Haibat K. Muhammad
Ujayl, Ali Abbas
Abd Allah, Umar

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 33, Issue 4 (31 Dec. 2020), pp.92-101, 10 p.

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2020-12-31

Country of Publication

Iraq

No. of Pages

10

Main Topic

Mathematics

Topics

Abstract EN

In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left R-module Q over a commutative ring R with identity.

This concept is a generalization of prime and primary submodules, where a proper submodule E of an R-module Q is called an approximaitly quasi-primary (for short App-qp) submodule of Q, if rq∈E, for r∈R, q∈Q, implies that either q∈〖rad〗_Q (E)+soc(Q) or r^n Q⊆E+soc(Q), for some n∈Z^+.

Many basic properties, examples and characterizations of this concept are introduced.

American Psychological Association (APA)

Ujayl, Ali Abbas& Abd Allah, Umar& Ali, Haibat K. Muhammad. 2020. Approximaitly quasi-primary submodules. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 33, no. 4, pp.92-101.
https://search.emarefa.net/detail/BIM-977524

Modern Language Association (MLA)

Ujayl, Ali Abbas…[et al.]. Approximaitly quasi-primary submodules. Ibn al-Haitham Journal for Pure and Applied Science Vol. 33, no. 4 (2020), pp.92-101.
https://search.emarefa.net/detail/BIM-977524

American Medical Association (AMA)

Ujayl, Ali Abbas& Abd Allah, Umar& Ali, Haibat K. Muhammad. Approximaitly quasi-primary submodules. Ibn al-Haitham Journal for Pure and Applied Science. 2020. Vol. 33, no. 4, pp.92-101.
https://search.emarefa.net/detail/BIM-977524

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 100-101

Record ID

BIM-977524