caa a22 4500 386307067 CHVBK 20180307111533.0 cr unu---uuuuu 161130e198804 xx s 000 0 eng 10.1017/S1446788700029761 doi S1446788700029761 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700029761 On Dual Radicals and Ring Elements [Elektronische Daten] If a property P of ring elements satisfies conditions (a)-(d), then the largest homomorphically closed class having no non-zero P-element is a dual radical in the sense of Andrunakievič, and every dual radical can be obtained in this way. Also properties defined by polynomials are considered and as an application we get various characterizations of the Behrens radical. Copyright © Australian Mathematical Society 1988 16 A 21 nationallicence subdirectly irreducible ring nationallicence radical class nationallicence upper radical nationallicence special radical nationallicence dual radical nationallicence Behrens radical nationallicence De La Rosa B. Department of Mathematics University of the Orange Free State Bloemfontein 9300 South, Africa Wiegandt R. Mathematical Institute of the Hungarian Academy of Sciences Budapest, V. Re´ltanoda u. 13-15, Hungary Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 164-170 1446-7887 44:2<164 1988 44 JAZ https://doi.org/10.1017/S1446788700029761 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700029761 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- De La Rosa B. Department of Mathematics University of the Orange Free State Bloemfontein 9300 South, Africa NATIONALLICENCE 700 1- Wiegandt R. Mathematical Institute of the Hungarian Academy of Sciences Budapest, V. Re´ltanoda u. 13-15, Hungary NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 164-170 1446-7887 44:2<164 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge