Strongly t-continuous and strongly t-semisimple modules
Joint Authors
Hadi, Inam Muhammad Ali
Shayya, Farhan Dakhil
Source
Journal of al-Qadisiyah for Pure Science
Issue
Vol. 24, Issue 1 (31 Mar. 2019), pp.37-44, 8 p.
Publisher
al-Qadisiyah University College of Science
Publication Date
2019-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Abstract EN
We introduce and investigate strongly t-continuous modules.
A module ܯ is called strongly t-continuous if ܯ is strongly t-extending, and every submodule of ܯ which contains ܼଶ (ܯ (and is isomorphic to a direct summand is a fully invariant direct summand of ܯ .It is shown that, while a direct summand of strongly t-continuous inherits the property, a direct sum of strongly t-continuous modules don’t.
ܯ is strongly t-continuous if and only if ܯ is strongly t-extending and the endomorphism ring of ெ మ (ெ) is Von Neumann regular, if and only if ܯܼ = ଶ ᇱܯ⨁(ܯ) , where ܯᇱ is a strongly t-continuous module.
We have shown that strongly t-continuous module and t-continuous module are coinciding under certain conditions.
Many other properties and example are given.
American Psychological Association (APA)
Shayya, Farhan Dakhil& Hadi, Inam Muhammad Ali. 2019. Strongly t-continuous and strongly t-semisimple modules. Journal of al-Qadisiyah for Pure Science،Vol. 24, no. 1, pp.37-44.
https://search.emarefa.net/detail/BIM-1079535
Modern Language Association (MLA)
Shayya, Farhan Dakhil& Hadi, Inam Muhammad Ali. Strongly t-continuous and strongly t-semisimple modules. Journal of al-Qadisiyah for Pure Science Vol. 24, no. 1 (2019), pp.37-44.
https://search.emarefa.net/detail/BIM-1079535
American Medical Association (AMA)
Shayya, Farhan Dakhil& Hadi, Inam Muhammad Ali. Strongly t-continuous and strongly t-semisimple modules. Journal of al-Qadisiyah for Pure Science. 2019. Vol. 24, no. 1, pp.37-44.
https://search.emarefa.net/detail/BIM-1079535
Data Type
Journal Articles
Language
English
Notes
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Record ID
BIM-1079535