Results 61 to 70 of about 397,514 (346)
Similarity and commutators of matrices over principal ideal rings [PDF]
, 2012 We prove that if is a principal ideal ring and is a matrix with trace zero, then is a commutator, that is, for some . This generalises the corresponding result over fields due to Albert and Muckenhoupt, as well as that over due to Laffey and Reams, and ...
A. Stasinski
semanticscholar +1 more source
Protein pyrophosphorylation by inositol pyrophosphates â detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
A study of upper ideal relation graphs of rings
AKCE International Journal of Graphs and CombinatoricsLet R be a ring with unity. The upper ideal relation graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all non-unit elements of R and two distinct vertices x, y are adjacent if and only if there exists ...
Barkha Baloda +2 more
doaj +1 more source
A prime ideal principle for two-sided ideals
, 2016 Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
core +1 more source
The Structure of Finite Local Principal Ideal Rings [PDF]
, 2011 A ring R is called a principal ideal ring (PIR), if each ideal of R is a principal ideal. A local ring (R, đŞ) is an artinian PIR if and only if its maximal ideal đŞ is principal and has finite nilpotency index.
Tongsuo Wu, Houyi Yu, D. Lu
semanticscholar +1 more source
Mechanisms of parasiteâmediated disruption of brain vessels
FEBS Letters, EarlyView.Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira +3 more
wiley +1 more source
Principal Mappings between Posets
International Journal of Mathematics and Mathematical Sciences, 2014 We introduce and study principal mappings between posets which generalize the notion of principal elements in a multiplicative lattice, in particular, the principal ideals of a commutative ring.
Yuan Ting Nai, Dongsheng Zhao
doaj +1 more source
Mesenchymal stromal cells primed with paclitaxel provide a new approach for cancer therapy. [PDF]
PLoS ONE, 2011 BACKGROUND: Mesenchymal stromal cells may represent an ideal candidate to deliver anti-cancer drugs. In a previous study, we demonstrated that exposure of mouse bone marrow derived stromal cells to Doxorubicin led them to acquire anti-proliferative ...
Augusto Pessina +18 more
doaj +1 more source
Time after time â circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissueâlevel coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Insights Into Principal Ideal Rings and Their Hereditary Properties
Journal of MathematicsIn this paper, we investigate principal ideal rings (PIRs). Specifically, we prove that every local PIR is either a 2-strongly Gorenstein semisimple ring or a discrete valuation ring, which leads to the establishment of the Gorenstein hereditary property
Jin Xie +3 more
doaj +1 more source