Principal ideal and noetherian groups

S. Feigelstock, Z. Schlussel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let Π be a ring property. An additive group G is said tobe an (associative) strongly II-group if G is not nil, and if every(associative) ring R with additive group G such that R is not azeroring has property II. The (associative) strongly principalideal groups, and the (associative) strongly Noetherian groupsare classified for groupswhich are not torsion free. Someresults are also obtained for the torsion free case.

Original languageEnglish
Pages (from-to)87-92
Number of pages6
JournalPacific Journal of Mathematics
Issue number1
StatePublished - Mar 1978


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