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 ...

Everyone loves The Lord of the Rings. In fact, so much so that when Amazon first announced it was adapting the classic J.R.R. Tolkien story for their own streaming platform, many cried out against the ...