Strongly graded rings which are Krull rings
İE Wijayanti, H Marubayashi, İ Ernanto… - … Electronic Journal of … - dergipark.org.tr
Let R=n∈\ZR_n be a strongly graded ring of type \Z and R_0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R_0 is a \Z-invariant Krull ring,(ii) …
shown that the following three conditions are equivalent:(i) R_0 is a \Z-invariant Krull ring,(ii) …
STRONGLY GRADED RINGS WHICH ARE KRULL RINGS.
IE Wijayanti, H Marubayashi… - … Electronic Journal of …, 2019 - search.ebscohost.com
Let R=⊕< sub> n∈ ZR< sub> n be a strongly graded ring of type Z and∣ R< sub> 0 is a
prime Goldie ring. It is shown that the following three conditions are equivalent:(i) R< sub> 0 …
prime Goldie ring. It is shown that the following three conditions are equivalent:(i) R< sub> 0 …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - ieja.net
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - academia.edu
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - scholar.archive.org
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - researchgate.net
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - ieja.net
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
İE Wijayanti, H Marubayashi, İ Ernanto… - … Electronic Journal of … - dergipark.org.tr
Let $ R=\oplus_ {n\in\Z} R_ {n} $ be a strongly graded ring of type $\Z $ and $ R_ {0} $ is a
prime Goldie ring. It is shown that the following three conditions are equivalent:(i) $ R_ {0} …
prime Goldie ring. It is shown that the following three conditions are equivalent:(i) $ R_ {0} …
[PDF][PDF] STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
IE Wijayanti, H Marubayashi, I Ernanto… - … Electronic Journal of …, 2019 - researchgate.net
Let R=⊕ n∈ ZRn be a strongly graded ring of type Z and R0 is a prime Goldie ring. It is
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …
shown that the following three conditions are equivalent:(i) R0 is a Z-invariant Krull ring,(ii) R …