Open AccessOn Almost Weakly np – injective Rings
Author(s) -
Raida Mahmood,
Amaar Ghaze
Publication year - 2018
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.2018.163575
Subject(s) - injective function , mathematics , simple (philosophy) , injective module , ideal (ethics) , ring (chemistry) , combinatorics , integer (computer science) , characterization (materials science) , divisible group , pure mathematics , discrete mathematics , physics , chemistry , computer science , philosophy , epistemology , organic chemistry , optics , programming language , g module , abelian group , elementary abelian group
raida.1961@uomosul.edu.iq Department of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, Iraq Received on: 11/03/2014 Accepted on: 09/04/2014 ABSTRACT The ring R is called right almost weakly np –injective, if for any a ∈ N2(R), there exists a positive integer n and a left ideal Xan of R such that lr(a n) = Ra⨁Xan. In this paper, we give some characterization and properties of almost weakly np – injective rings. And we study the regularity of right almost weakly np – injective ring and in the same time, when every simple (simple singular) right R – module is almost weakly np – injective, we also give some properties of an R.
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