Almost Gorenstein rings and their associated ideals represent an important extension of classical Gorenstein theory within commutative algebra. Occupying an intermediary position between Gorenstein ...

Let R be a commutative ring with non-zero identity. In this paper, we introduce the concept of weakly J-ideals as a new generalization of J-ideals. We call a proper ideal I of a ring R a weakly ...

In this paper an example is given of a pair of commutative noetherian rings $R \subseteq S$ with S a finite R-module and IS ∩ R = I for each ideal I of R, but ...