Positively graded rings which are unique factorization rings
I Ernanto, H Marubayashi, A Ueda… - Vietnam Journal of …, 2021 - Springer
Let R=⊕ n∈ ℤ 0 R n R=⊕_n∈Z_0R_n be a positively graded ring which is a sub-ring of the
strongly graded ring S=⊕ n∈ ℤ R n S=⊕_n∈ZR_n, where R 0 is a Noetherian prime ring. It …
strongly graded ring S=⊕ n∈ ℤ R n S=⊕_n∈ZR_n, where R 0 is a Noetherian prime ring. It …
Strongly Graded Modules and Positively Graded Modules which are Unique Factorization Modules
I Ernanto, IE Wijayanti, A Ueda - International Electronic Journal of …, 2024 - dergipark.org.tr
Let M=n∈ZM_n be a strongly graded module over strongly graded ring D=n∈ZD_n. In this
paper, we prove that if M_0 is a unique factorization module (UFM for short) over D_0 and D …
paper, we prove that if M_0 is a unique factorization module (UFM for short) over D_0 and D …