Results 91 to 100 of about 708,128 (192)

Ring extensions and essential monomorphisms

open access: yes, 1978
We study pairs of rings R ⊂ S R \subset S such that Hom R ⁡ ( S , − ) : R − Mod → S ...
Tilmann Würfel
core   +1 more source

Cotilting Duality for Artinian Rings

open access: yes
A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balanced bimodule which is a finitely generated injective cogenerator of both rings and, equivalently, these latter are one-sided artinian. We extend this well-known result to the
Mantese, Francesca, Martini, Lorenzo
openaire   +2 more sources

Altered Phosphorylation of the Proteasome Subunit Rpt6 Has Minimal Impact on Synaptic Plasticity and Learning. [PDF]

open access: yeseNeuro, 2021
Scudder SL   +7 more
europepmc   +1 more source

Characterization and examples of commutative iso-Artinian rings [PDF]

open access: yes
Noetherian rings have played a fundamental role in commutative algebra, algebraic number theory, and algebraic geometry. Along with their dual, Artinian rings, they have many generalizations, including the notions of iso-Noetherian and iso-Artinian rings.
Daneshvar, Asghar, Divaani-Aazar, Kamran
core   +1 more source

Some properties of Artinian modules and applications

open access: yes, 2018
Let [Formula: see text] be a Noetherian local ring and [Formula: see text] be an Artinian [Formula: see text]-module. Consider the following property for [Formula: see text] : [Formula: see text] In this paper, we study the property (∗) of [Formula: see
Tran Nguyen An
core   +1 more source

A RESULT ON THE Σ-CS RING

open access: yesTạp chí Khoa học
Let 𝑅 be a ring such that 𝑅𝑅 = 𝑒1𝑅 ⊕ … ⊕ 𝑒𝑛𝑅 where each 𝑒𝑖𝑅 is a uniform right ideal with finite composition length, and {𝑒𝑖 | 𝑖 = 1, … , 𝑛 } is a set of idempotents. We consider the following condition on 𝑅𝑅: for all distinct 𝑖 and 𝑗, if 𝑙(𝑒𝑖𝑅) < 𝑙 (
Le Van An*, Nguyen Thi Hong
doaj   +1 more source

On Locally Artinian Rings

open access: yesJournal of Zankoy Sulaimani - Part A, 2017
In this paper, a new ring is introduced and studied, which we call a locally Artinian ring and it is a generalization of an Artinian ring. Several properties of Artinian rings are extended to this new type of commutative rings. Some conditions are given under which a locally Artinian ring is Artinian.
openaire   +1 more source

Some Results on Graded Generalized Local Cohomology Modules

open access: yesJournal of Mathematical Extension, 2010
. Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and N be finitely generated graded R-modules. In this paper we extend some of the known results about ordinary local cohomology modules Hi R+ (M) to ...
F. Dehghani-Zadeh, H. Zakeri
doaj  

Rings whose subrings are all Noetherian or Artinian [PDF]

open access: yes
We study noncommutative rings whose proper subrings all satisfy the same chain condition. We show that if every proper subring of a ring $R$ is right Noetherian, then $R$ is either right Noetherian or the trivial extension of $\mathbb{Z}$ by the Pr\"ufer
Blacher, Nathan
core  

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