caa a22 4500 477094759 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF03322212 doi (NATIONALLICENCE)springer-10.1007/BF03322212 Mason Gordon Department of Mathematics & Statistics, University of New Brunswick, N. B. E3B 5A3, Fredericton, Canada aut Boolean Orthogonalities For Near-rings [Elektronische Daten] [Gordon Mason] Cornish has developed a theory of Boolean orthogonalities for sets with an associated algebraic closure system of "ideals”, and applied it to reduced rings and semiprime rings. In this paper we apply the theory to near-rings and in particular to 3-somiprime near-rings. As one consequence, we identify some near-rings whose 3-semiprime ideals are intersections of 3-prime ideals. In the final section, we discuss local ideals and normality conditions for near-rings with a. Boolean orthogonality. Birkhäuser Verlag, Basel, 1996 Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 125-136 0378-6218 29:1-2<125 1996 29 25 https://doi.org/10.1007/BF03322212 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322212 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mason Gordon Department of Mathematics & Statistics, University of New Brunswick, N. B. E3B 5A3, Fredericton, Canada aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 125-136 0378-6218 29:1-2<125 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer