On integral domains in which every ascending chain on principal ideals is S-stationary
Let D be an integral domain and S a multiplicative subset of D. An ascending chain (I k) k∈
ℕ of ideals of D is said to be S-stationary if there exist a positive integer n and an s∈ S such …
ℕ of ideals of D is said to be S-stationary if there exist a positive integer n and an s∈ S such …
Some change of rings results on (n, m)-SG modules and (n, m)-SG rings
K Hu, JW Lim, DC Zhou - Communications in Algebra, 2020 - Taylor & Francis
Let n⩾ 1 and k⩾ 0 be fixed integers and R be a ring. We show that R is (n, k)-SG with G‐
gldim (R)= k if and only if R [x 1, x 2,…, xm] is (n, k+ m)-SG with G‐gldim (R [x 1, x 2,…, xm]) …
gldim (R)= k if and only if R [x 1, x 2,…, xm] is (n, k+ m)-SG with G‐gldim (R [x 1, x 2,…, xm]) …
A note on local weakly SG-hereditary domains
K Hu, JW Lim, DC Zhou - Bulletin of the Iranian Mathematical Society, 2020 - Springer
A ring R is called weakly SG-hereditary if every ideal of R is SG-projective. In this note, we
prove that a local domain R is a Noetherian Warfield domain if and only if it is weakly SG …
prove that a local domain R is a Noetherian Warfield domain if and only if it is weakly SG …
Some results on Noetherian Warfield domains
K Hu, JW Lim, D Zhou - Algebra Colloquium, 2022 - World Scientific
Let R be a domain. In this paper, we show that if R is one-dimensional, then R is a
Noetherian Warfield domain if and only if every maximal ideal of R is 2-generated and for …
Noetherian Warfield domain if and only if every maximal ideal of R is 2-generated and for …