caa a22 4500 386372314 CHVBK 20180307112002.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0017089500007801 doi S0017089500007801 pii (NATIONALLICENCE)cambridge-10.1017/S0017089500007801 Rings characterized by cyclic modules [Elektronische Daten] A ring R is called right PCI if every proper cyclic right R-module is injective, i.e. if C is a cyclic right R-module then CR RR or CR is injective. By [2] and [3], if R is a non-artinian right PCI ring then R is a right hereditary right noetherian simple domain. Such a domain is called a right PCI domain. The existence of right PCI domains is guaranteed by an example given in [2]. As generalizations of right PCI rings, several classes of rings have been introduced and investigated, for example right CDPI rings, right CPOI rings (see [8], [6]). In Section 2 we define right PCS, right CPOS and right CPS rings and study the relationship between all these rings. Copyright © Glasgow Mathematical Journal Trust 1989 van Huynh Dinh Institute of Mathematics, P.O. Box 631 Bo Hô, Hanoi, Vietnam Dan Phan Institute of Mathematics, P.O. Box 631 Bo Hô, Hanoi, Vietnam Glasgow Mathematical Journal Cambridge University Press 31/2(1989-05), 251-256 0017-0895 31:2<251 1989 31 GMJ https://doi.org/10.1017/S0017089500007801 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0017089500007801 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- van Huynh Dinh Institute of Mathematics, P.O. Box 631 Bo Hô, Hanoi, Vietnam NATIONALLICENCE 700 1- Dan Phan Institute of Mathematics, P.O. Box 631 Bo Hô, Hanoi, Vietnam NATIONALLICENCE 773 0- Glasgow Mathematical Journal Cambridge University Press 31/2(1989-05), 251-256 0017-0895 31:2<251 1989 31 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge