1. Anderson, D.D., Winders, M.: Idealization of a module. J. Commut. Algebra 1(1), 3–56 (2009)
2. Arnold, J.T.: Krull dimension in power series rings. Trans. Am. Math. Soc. 177, 299–304 (1973)
3. Badawi, A.: On $$\Phi $$-Pseudo-Valuation Rings. Lecture Notes in Pure and Applied Mathematics, vol. 205, pp. 101–110. Marcel Dekker, New York (1999)
4. Badawi, A.: On Nonnil-Noetherian rings. Commun. Algebra 31(4), 1669–1677 (2003)
5. Badawi, A., Lucas, T.: Rings with prime nilradical. In: Arithmetical Properties of Commutative Rings and Monoids, pp. 198–212. Chapman & Hall, Boca Raton (2005)