Open AccessWnil-Injective Modules
Author(s) -
Raida Mahmood,
Husam Mohammad
Publication year - 2010
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2010.163852
Subject(s) - injective function , homomorphism , injective module , monomorphism , mathematics , integer (computer science) , von neumann regular ring , combinatorics , discrete mathematics , ring (chemistry) , pure mathematics , computer science , chemistry , programming language , organic chemistry
A right module M is called Wnil-injective if for any 0 ≠ a ∈ N( R ), there exists a positive integer n such that a n ≠ 0 and any right R- homomorphism f : a n R → M can be extended to R → M. In this paper , we first give and develope various properties of right Wnil-injective rings, by which, many of the known results are extended. Also, we study the relations between such rings and reduced rings by adding some types of rings, such as SRB-rings, and other types of rings.
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