Abstract

An almost null ring is a ring $R$ in which for all $a,b\in R$, $a^3=0$, $Ma^2=0$ for some square-free integer $M$ that depends on $a$ and $ab= ka^{2}=l b^{2}$ for some integers $k,l$. This paper is devoted to the classification of the almost null rings.

DOI

10.3906/mat-1408-22

Keywords

Ideal, $H$-ring

First Page

945

Last Page

953

Recommended Citation

ANDRUSZKIEWICZ, R, & PRYSZCZEPKO, K (2015). On the classification of almost null rings. Turkish Journal of Mathematics 39 (6): 945-953. https://doi.org/10.3906/mat-1408-22

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