⊕-s-extending module

Joint Authors

al-Rabii, Aya A.
al-Sadi, Sad A.

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 33, Issue 3 (31 Dec. 2020), pp.80-88, 9 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

9

Main Subjects

Mathematics

Abstract EN

The concept⊕-s-extending modules will be purpose of this research, a module M is ⊕-s-extending if each submodule in M is essential in submodule has a supplement that is direct summand.

Initially, we give relation between this concept with weakly supplement extending modules and ⊕-supplemented modules.

In fact, we give the following implications: Lifting modules ⟹ ⊕-supplemented modules ⟹ ⊕-s-extending modules ⟹ weakly supplement extending modules.

It is also we give examples show that, the converse of this result is not true.

Moreover, we study when the converse of this result is true.

American Psychological Association (APA)

al-Sadi, Sad A.& al-Rabii, Aya A.. 2020. ⊕-s-extending module. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 33, no. 3, pp.80-88.
https://search.emarefa.net/detail/BIM-973780

Modern Language Association (MLA)

al-Sadi, Sad A.& al-Rabii, Aya A.. ⊕-s-extending module. Ibn al-Haitham Journal for Pure and Applied Science Vol. 33, no. 3 (2020), pp.80-88.
https://search.emarefa.net/detail/BIM-973780

American Medical Association (AMA)

al-Sadi, Sad A.& al-Rabii, Aya A.. ⊕-s-extending module. Ibn al-Haitham Journal for Pure and Applied Science. 2020. Vol. 33, no. 3, pp.80-88.
https://search.emarefa.net/detail/BIM-973780

Data Type

Journal Articles

Language

English

Notes

-

Record ID

BIM-973780