On the catenarian property and minimal prime ideals of amalgamations of rings
L Izelgue, O Ouzzaouti - Gulf Journal of Mathematics, 2016 - gjom.org
In this paper, we investigate the transfer of the notion of catenarian rings to amalgamated
duplication of a ring along an ideal; our result provides original illustrating examples. Then …
duplication of a ring along an ideal; our result provides original illustrating examples. Then …
[引用][C] The structure of prime homogeneous ideals in graded amalgamated algebra along an ideal
FZ Guissi, H Kim, N Mahdou - Journal of Algebra and Its …, 2023 - World Scientific
Let A=⊕ α∈ Γ A α and B=⊕ α∈ Γ B α be two commutative rings graded by an arbitrary
commutative monoid Γ, J be a homogeneous ideal of B, and f: A→ B be a graded ring …
commutative monoid Γ, J be a homogeneous ideal of B, and f: A→ B be a graded ring …