Extensions of radical operations to fractional ideals (Q2568854)

This paper is a continuation of the previous works of author [J. Pure Appl. Algebra 161, 245--253 (2001; Zbl 0988.13001) and in: Commutative ring theory and applications. Proc. 4th int. conf. Fez, Morocco, 2001. Lect. Notes Pure Appl. Math. 231, 51--59 (2003; Zbl 1061.13003)]. The author generalizes the notion of radical operations to fractional ideals of integral domains and then he defines the *-invertiblility of ideals. The author gives a characterization for a fractional ideal to be *-invertible. The author also considers the radical operations on the polynomials and formal power series rings. At the end the author extends the *-invertibility to the contents of polynomials.