A Note on Prufer *-multiplication Domains

Olivier Heubo-Kwegna

Abstract

nthisnote,weprovethatforanarbitrarystaroperation⋆onadomainR,thedomainRisa Prüfer ⋆-multiplication domain if every 2-generated ideal of R is ⋆f invertible. Some characterizations of Prüfer-⋆ multiplication domains are therefore obtained. 

Keywords

$\star$-operation, $\star$-ideal, Pr\"{u}fer $\star$-multiplication domain

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