caa a22 4500 386360286 CHVBK 20180307111913.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0004972700017548 doi S0004972700017548 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700017548 A note on semi-homomorphisms of rings [Elektronische Daten] Huq presented a general study of semi-homomorphisms of rings, following, amongst others, Kaplansky's study of semi-automorphisnis of rings and Herstein's study of semi-homomorphisms of groups. Huq gave several "sufficient” conditions for a semi-homomorphism and a semi-monomorphism of rings to be a homomorphism and a monomorphism respectively. In this note we introduce semi-subgroups of groups, provide counterexamples to four of Huq's assertions and show how a minor, albeit forced, change to one of the conditions of the fourth assertion turns it into a special case of another theorem of Huq's. Copyright © Australian Mathematical Society 1989 Fong Y. Department of Mathematics National Cheng Kung University 70102 Tainan, Taiwan, Republic of China van Wyk L. Department of Mathematics University of Stellenbosch 7600 Stellenbosch Republic of South Africa Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 481-486 0004-9727 40:3<481 1989 40 BAZ https://doi.org/10.1017/S0004972700017548 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700017548 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fong Y. Department of Mathematics National Cheng Kung University 70102 Tainan, Taiwan, Republic of China NATIONALLICENCE 700 1- van Wyk L. Department of Mathematics University of Stellenbosch 7600 Stellenbosch Republic of South Africa NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 481-486 0004-9727 40:3<481 1989 40 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge