Bae, Chul Kon Prime near-rings. (English) Zbl 1273.16045 Commun. Korean Math. Soc. 3, No. 2, 125-131 (1988). From the introduction: We consider the basic properties of prime near-ring modules and find a similarity of prime submodules and annihilator left ideals. The main result is as follows: If \(N\) is a distributive near-ring, then the lattices \(\mathcal U_r\) and \(\mathcal U_l\) are anti-isomorphic. MSC: 16Y30 Near-rings 16N60 Prime and semiprime associative rings 16D25 Ideals in associative algebras Keywords:distributive near-rings; prime near-ring modules; prime submodules; annihilator left ideals PDFBibTeX XMLCite \textit{C. K. Bae}, Commun. Korean Math. Soc. 3, No. 2, 125--131 (1988; Zbl 1273.16045)