Positively Graded Rings which are Unique Factorization Rings

Ernanto, Iwan and Marubayashi, Hidetoshi and Ueda, Akira and Wahyuni, Sri (2021) Positively Graded Rings which are Unique Factorization Rings. VIETNAM JOURNAL OF MATHEMATICS, 49 (4). pp. 1037-1041. ISSN 2305-221X

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Abstract

Let R = ⊕n∈Z0Rn be a positively graded ring which is a sub-ring of the strongly graded
ring S = ⊕n∈ZRn, where R0 is a Noetherian prime ring. It is shown that R is a unique
factorization ring in the sense of (Commun. Algebra 19, 167–198, 1991) if and only if R0
is a Z0-invariant unique factorization ring and R1 is a principal (R0,R0) bi-module. We
give examples of Z0-invariant unique factorization rings which are not unique factorization
rings.

Item Type:	Article
Additional Information:	Library Dosen
Uncontrolled Keywords:	Strongly graded ring; Maximal order; Prime Goldie ring; Unique factorization ring
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User:	Sri JUNANDI
Date Deposited:	12 Sep 2025 01:22
Last Modified:	12 Sep 2025 01:22
URI:	https://ir.lib.ugm.ac.id/id/eprint/17895

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