On modules with finite spanning isodimension
Joint Authors
Hamaali, Payman M.
Jabbar, Adil K.
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 28, Issue 3 (30 Sep. 2020), pp.355-364, 10 p.
Publisher
Publication Date
2020-09-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract EN
We introduce ? −modules with finite spanning isodimension.
let ? be an ? −module ? is called module with finite spanning isodimension, if for every strictly decreasing sequence ?0 ⊇ ?1 ⊇ ⋯, there exists a positive integer ? such that ?? is isosmall for each ? ≥ ?.
in the following sense, we define isosmall submodule, a submodule ? of an ? −module ? is called isosmall, if ? + ? ≅ ?, then ? ≅ ? for any submodule ? of ?.
some other classes are studied for instances isomaximal and many results are proved.
on the other hand, we determine that the ring of endomorphisms of an isosimple module is a local ring.
American Psychological Association (APA)
Hamaali, Payman M.& Jabbar, Adil K.. 2020. On modules with finite spanning isodimension. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 28, no. 3, pp.355-364.
https://search.emarefa.net/detail/BIM-1386449
Modern Language Association (MLA)
Hamaali, Payman M.& Jabbar, Adil K.. On modules with finite spanning isodimension. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 28, no. 3 (2020), pp.355-364.
https://search.emarefa.net/detail/BIM-1386449
American Medical Association (AMA)
Hamaali, Payman M.& Jabbar, Adil K.. On modules with finite spanning isodimension. Journal of Babylon University : Journal of Applied and Pure Sciences. 2020. Vol. 28, no. 3, pp.355-364.
https://search.emarefa.net/detail/BIM-1386449
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 364
Record ID
BIM-1386449
