Domains whose ideals meet a universal restriction
M Zafrullah - Journal of Algebra and Its Applications, 2023 - World Scientific
Let S (D) represent a set of proper nonzero ideals I (D)(respectively, t-ideals I t (D)) of an
integral domain D≠ qf (D) and let P be a valid property of ideals of D. We say S (D) meets P …
integral domain D≠ qf (D) and let P be a valid property of ideals of D. We say S (D) meets P …
ES-w-stability
B Ay Saylam, H Hamdi - Communications in Algebra, 2021 - Taylor & Francis
We introduce and study the notion of ES-w-stability for an integral domain R. A nonzero
ideal I of R is called ES-w-stable if (I 2) w=(JI) w for some t-invertible ideal J of R contained in …
ideal I of R is called ES-w-stable if (I 2) w=(JI) w for some t-invertible ideal J of R contained in …
On -potent Domains and -homogeneous Ideals
M Zafrullah - The International Conference on Mathematics & …, 2020 - Springer
Let⋆ be a star operation of finite character. Call a⋆-ideal I of finite type a⋆-homogeneous
ideal if I is contained in a unique maximal⋆-ideal M= M (I). A maximal∗-ideal that contains …
ideal if I is contained in a unique maximal⋆-ideal M= M (I). A maximal∗-ideal that contains …