Idealizers in Differential Polynomial Rings and Generalized HNP Rings

H Marubayashi, A Ueda - Advances in Rings and Modules, 2018 - books.google.com
Polynomial rings over hereditary Noetherian prime rings have the following properties: The
global dimension is two, and any ideal with left v-ideal or right v-ideal is a projective ideal …

Projective ideals of differential polynomial rings over HNP rings

H Marubayashi, A Ueda - … of the International Conference held at …, 2018 - degruyter.com
Let R be a hereditary Noetherian prime ring with derivation δ. We describe all projective
ideals of a differential polynomial ring R [x; δ] and give some examples of hereditary …

Generalized hereditary Noetherian prime rings

E Akalan, H Marubayashi, A Ueda - Journal of Algebra and Its …, 2018 - World Scientific
The polynomial rings over hereditary Noetherian prime rings have global dimension 2 and
any two-sided ideal which is either left v-ideal or right v-ideal is left and right projective. By …

Quasi-duo differential polynomial rings

B Mai Hoang, J Öinert - Journal of Algebra and its Applications, 2018 - diva-portal.org
In this article we give a characterization of left (right) quasi-duo differential polynomial rings.
We provide non-trivial examples of such rings and give a complete description of the …

Quasi-duo differential polynomial rings

M Hoang Bien, J Öinert - arXiv e-prints, 2016 - ui.adsabs.harvard.edu
In this article we give a characterization of left (right) quasi-duo differential polynomial rings.
In particular, we show that a differential polynomial ring is left quasi-duo if and only if it is …

Quasi-duo differential polynomial rings

MH Bien, J Öinert - Journal of Algebra and Its Applications, 2018 - World Scientific
In this paper, we give a characterization of left (right) quasi-duo differential polynomial rings.
In particular, we show that a differential polynomial ring is left quasi-duo if and only if it is …

New characterizations of generalized Dedekind prime rings

E Akalan, B SARAC - Journal of Algebra and its Applications, 2011 - World Scientific
NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS Page 1
S0219498811004963 Journal of Algebra and Its Applications Vol. 10, No. 5 (2011) 821–825 …

Iterated differential polynomial rings over locally nilpotent rings

S Jin, J Shin - Communications in Algebra, 2021 - Taylor & Francis
Full article: Iterated differential polynomial rings over locally nilpotent rings Skip to Main Content
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Left APP differential polynomial rings

AR Nasr-Isfahani - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A ring R is called a left APP-ring if for each element a∈ R, the left annihilator l R
(Ra) is right s-unital as an ideal of R or equivalently R∕ l R (Ra) is flat as a left R-module. In …

Skew polynomial rings over 2-primal rings

G Marks - Communications in Algebra, 1999 - Taylor & Francis
Skew polynomial rings over 2-primal rings Page 1 COMMUNICATIONS IN ALGEBRA, 27(9),
44 1 1-4423 (1 999) SKEW POLYNOMIAL RINGS OVER 2-PRIMAL RINGS Greg Marks …