On N–Flat Rings | Zendy

Raida Mahmood | Zendy; Husam Mohammad | Zendy

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On N–Flat Rings

Author(s) -

Raida Mahmood,

Husam Mohammad

Publication year - 2011

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.2011.163609

Subject(s) - ideal (ethics) , mathematics , integer (computer science) , ring (chemistry) , combinatorics , discrete mathematics , pure mathematics , computer science , law , political science , chemistry , organic chemistry , programming language

Let I be a right ideal of R, then R / I is a right N -flat if and only if for each a ∈ I, there exists b ∈ I and a positive integer n such that a n ≠ 0 and a n = ba n . In this paper, we first give and develope various properties of right N-flat rings, by which, many of the known results are extended. Also, we study the relations between such rings and regular, π-biregular ring.

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