Strongly graded rings which are generalized Dedekind rings
Let R=⊕ n∈ ℤ R n be a strongly graded ring of type ℤ such that R 0 is a prime Goldie ring
with its quotient ring Q 0. It is shown that the following three conditions are equivalent:(i) R 0 …
with its quotient ring Q 0. It is shown that the following three conditions are equivalent:(i) R 0 …
[引用][C] Generalized Rees rings and arithmetical graded rings
F Van Oystaeyen - Journal of Algebra, 1983 - Elsevier
In this paper we study graded rings with an arithmetical ideal theory for the graded ideals,
eg, Gr-Dedekind and Gr-principal ideal rings. If these rings are positively graded rings, then …
eg, Gr-Dedekind and Gr-principal ideal rings. If these rings are positively graded rings, then …
Positively graded rings which are maximal orders and generalized Dedekind prime rings
IE Wijayanti, H Marubayashi, Sutopo - Journal of Algebra and Its …, 2020 - World Scientific
Let R=⊕ n∈ ℤ 0 R n be a positively graded ring which is a sub-ring of strongly graded ring
of type ℤ, where R 0 is a Noetherian prime ring. We define a concept of ℤ 0-invariant …
of type ℤ, where R 0 is a Noetherian prime ring. We define a concept of ℤ 0-invariant …
Strongly graded rings which are Krull rings
İE Wijayanti, H Marubayashi, İ Ernanto… - … Electronic Journal of …, 2019 - 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) …
[PDF][PDF] Graded dedekind rings
M Van Den Berg - Journal of Pure and Applied Algebra, 1985 - core.ac.uk
Generalized Rees rings over Dedekind rings were introduced in [3] as a particular case of
graded Dedekind rings. It was discovered soon that these rings simplified the study of …
graded Dedekind rings. It was discovered soon that these rings simplified the study of …
A note on graded regular rings
H Yahya - Communications in Algebra, 1997 - Taylor & Francis
A note on graded regular rings Page 1 COMMUNICATIONS IN ALGEBRA, 25(1), 223-228 (1997)
A NOTE ON GRADED REGULAR RINGS Hafizah Yahya Department of Mathematical Sciences …
A NOTE ON GRADED REGULAR RINGS Hafizah Yahya Department of Mathematical Sciences …
On generalized Dedekind prime rings
E Akalan - Journal of Algebra, 2008 - Elsevier
Let R be a maximal order and A, B be R-ideals of R. Clearly (AB)∗⊇ B∗ A∗ is satisfied and
if R is a Dedekind prime ring, the equality holds, ie,(AB)∗= B∗ A∗. However, the equality is …
if R is a Dedekind prime ring, the equality holds, ie,(AB)∗= B∗ A∗. However, the equality is …
Ore extensions over PI G-Dedekind prime rings
E Akalan - Communications in Algebra®, 2011 - Taylor & Francis
Full article: Ore Extensions Over PI G-Dedekind Prime Rings Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
[PDF][PDF] On graded -irreducible ideals of commutative graded rings
A Assarrar, N Mahdou - Communications of the Korean …, 2023 - researchgate.net
Let R be a commutative graded ring with nonzero identity and na positive integer. Our
principal aim in this paper is to introduce and study the notions of graded n-irreducible and …
principal aim in this paper is to introduce and study the notions of graded n-irreducible and …
Invariant basis number and types for strongly graded rings
G Abrams - Journal of Algebra, 2001 - Elsevier
For any pair (n′, k′) of positive integers we produce a strongly Z2-graded ring R such that
the identity component R0 has invariant basis number while the basis-number type of R is …
the identity component R0 has invariant basis number while the basis-number type of R is …