caa a22 4500 38630727X CHVBK 20180307111533.0 cr unu---uuuuu 161130e198810 xx s 000 0 eng 10.1017/S1446788700030135 doi S1446788700030135 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700030135 Wyk L. Van Department of Mathematics, University of Stellenbosch 7600 Stellenbosch, South Africa Prime and special ideals in structural matrix rings over a ring without unity [Elektronische Daten] [L. Van Wyk] A. D. Sands showed that there is a 1-1 correspondence between the prime ideals of an arbitraty associative ring R and the complete matrix ring Mn(R) via P→ Mn(P). A structural matrix ring M(B, R) is the ring of all n × n matrices over R with 0 in the positions where the n × n boolean matrix B, B a quasi-order, has 0. The author characterized the special ideals of M(B, R′), in case R′ has unity, for certain special lasses of rings. In this note results of sands and the author are generalized to structural matrix rings over rings without unity. I t turns out that, although the class of prime simple rings is not a special class, Nagata's M-radical has the same form in structural matrix rings as the special radicals studied by the author. Copyright © Australian Mathematical Society 1988 16 A 21 nationallicence 16 A 42 nationallicence Journal of the Australian Mathematical Society Cambridge University Press 45/2(1988-10), 220-226 1446-7887 45:2<220 1988 45 JAZ https://doi.org/10.1017/S1446788700030135 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700030135 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wyk L. Van Department of Mathematics, University of Stellenbosch 7600 Stellenbosch, South Africa NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 45/2(1988-10), 220-226 1446-7887 45:2<220 1988 45 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge