SS-Injective modules and rings
Other Title(s)
الموديولات و الحلقات الاغمارية من النمط-SS
Joint Authors
Mahdi, Aqil Ramadan
Tayih, Adil Salim
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 9, Issue 2 (31 Dec. 2017), pp.57-70, 14 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2017-12-31
Country of Publication
Iraq
No. of Pages
14
Main Subjects
Abstract EN
We introduce and investigate SS-injectivity as a generalization of both soc-injectivity and small injectivity.
A right module M over a ring R is said to be SS-N-injective (where N is a right R-module) if every R-homomorphism from a semisimple small submodule of N into M extends to N.
A module M is said to be SS-injective (resp.
strongly SS-injective), if M is SS-R-injective (resp.
SS-N-injective for every right R-module N).
Some characterizations and properties of (strongly) SS-injective modules and rings are given.
Some results on soc-injectivity are extended to SS-injectivity.
American Psychological Association (APA)
Mahdi, Aqil Ramadan& Tayih, Adil Salim. 2017. SS-Injective modules and rings. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 9, no. 2, pp.57-70.
https://search.emarefa.net/detail/BIM-795353
Modern Language Association (MLA)
Mahdi, Aqil Ramadan& Tayih, Adil Salim. SS-Injective modules and rings. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 9, no. 2 (2017), pp.57-70.
https://search.emarefa.net/detail/BIM-795353
American Medical Association (AMA)
Mahdi, Aqil Ramadan& Tayih, Adil Salim. SS-Injective modules and rings. al-Qadisiyah Journal for Computer Science and Mathematics. 2017. Vol. 9, no. 2, pp.57-70.
https://search.emarefa.net/detail/BIM-795353
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 69
Record ID
BIM-795353
