A Note on Prufer *-multiplication Domains

Authors

  • Olivier Heubo-Kwegna

Keywords:

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

Abstract

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

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Published

2015-10-28

Issue

Vol. 8 No. 4: (October 2015)

Section

Algebraic Geometry

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How to Cite

A Note on Prufer *-multiplication Domains. (2015). European Journal of Pure and Applied Mathematics, 8(4), 458-461. https://www.ejpam.com/index.php/ejpam/article/view/2429