scientiae mathematicae japonicae · scientiae mathematicae japonicae abstract. let r = n2zr n be a...
TRANSCRIPT
![Page 1: Scientiae Mathematicae Japonicae · Scientiae Mathematicae Japonicae Abstract. Let R = n2ZR n be a strongly graded ring of type Z. In [6], it is shown that if R 0 is a maximal order,](https://reader033.vdocuments.net/reader033/viewer/2022042312/5edb413bad6a402d66655f49/html5/thumbnails/1.jpg)
Scientiae Mathematicae Japonicae
Abstract.
Let R = ⊕n∈ZRn be a strongly graded ring of type Z. In [6], it is shown that if R0
is a maximal order, then so is R. We define a concept of Z-invariant maximal orderand show R0 is a Z-invariant maximal order if and only if R is a maximal order. Weprovide examples of R0 which are Z-invariant maximal orders but not maximal orders.
Key words and phrases. Graded ring; maximal order; prime Goldie ring; hereditary Noetherian primering.
STRONGLY GRADED RINGS WHICH ARE MAXIMAL ORDERS
Hidetoshi Marubayashi1, Sri Wahyuni2,Indah Emilia Wijayanti3, Iwan Ernanto4
Received December 8, 2017