TY - JOUR
TI - A note on Prufer *-multiplication II
PY - 2016/01/27
Y2 - 2024/06/22
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 9
IS - 1
LA - english
UR - https://www.ejpam.com/index.php/ejpam/article/view/2589
SP - 1-2
AB - 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.
ER -