@article{A note on Prufer *-multiplication II_2016, place={Maryland, USA}, volume={9}, url={https://www.ejpam.com/index.php/ejpam/article/view/2589}, abstractNote={We bring some corrections to Corollary 1 of [3]. In [3], we attemptedto show that for an arbitrary star operation â‹† on a domain R, the domain R isa PrÂ¨ufer â‹†-multiplication domain if and only if (a) \ (b) is â‹†f -invertible for alla, b 2 R \ {0}. We show in this paper that the characterization does not hold ingeneral and we restate [3, Corollary 1] with justification and proof as follows: ifa domain R is a PrÂ¨ufer â‹†-multiplication domain, then (a)\(b) is â‹†f -invertible forall a, b 2 R \ {0}. The converse holds only if â‹†f = t.}, number={1}, journal={European Journal of Pure and Applied Mathematics}, year={2016}, month={Jan.}, pages={1–2} }