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Title : Positively Graded Rings which are Unique Factorization Rings
Author :

Iwan Ernanto S.Si., M.Sc. (1) Hidetoshi Marubayashi (2) Akira Ueda (3) Prof. Dr. Sri Wahyuni, S.U. (4)
Date : 17 2020
Keyword : Strongly graded ring,Maximal order,Prime Goldie ring,Unique factorization ring Strongly graded ring,Maximal order,Prime Goldie ring,Unique factorization ring
Abstract : Let R= \oplus_{n\in Z0} Rn be a positively graded ring which is a sub-ring of the strongly graded ring S=\oplus_{n\in Z}Rn, 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.
Group of Knowledge : Matematika
Original Language : English
Level : Internasional
Status :
Published
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4 form-L1-permohonan_penghargaan-karya-ilmiah-sudah-terbit-2021.pdf
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5 Vietnam Journal of Mathematics _ Volume 49, issue 4.pdf
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6 Dokumen-Lengkap-Positively-Graded-Vietnam.pdf
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7 Scimago-Vietnam Journal of Mathematics.pdf
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8 WoS-Positively Graded Rings which are Unique Factorization Rings-Web of Science Core Collection.pdf
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13 Positively Graded Rings which are Unique Factorization Rings.pdf
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