On the classification of almost null rings

Authors

RYSZARD ANDRUSZKIEWICZ
KAROL PRYSZCZEPKO

DOI

10.3906/mat-1408-22

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.

Keywords

Ideal, $H$-ring

First Page

945

Last Page

953

Recommended Citation

ANDRUSZKIEWICZ, RYSZARD and PRYSZCZEPKO, KAROL (2015) "On the classification of almost null rings," Turkish Journal of Mathematics: Vol. 39: No. 6, Article 13. https://doi.org/10.3906/mat-1408-22
Available at: https://journals.tubitak.gov.tr/math/vol39/iss6/13