Results 31 to 40 of about 1,454,781 (239)

Zariski topology on the spectrum of graded classical prime submodules

Applied General Topology, 2013
Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. A proper graded submodule $N$ of $M$ is called graded classical prime if for every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
doaj   +1 more source

On primitive ideals in graded rings [PDF]

, 2008
Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
core   +1 more source

On graded $S$-comultiplication modules [PDF]

, 2022
In this paper, we introduce the concept of graded $S$-comultiplication modules. Several results concerning graded $S$-comultiplication modules are proved.
Hamoda, Mohammad, Al-Zoubi, Khaldoun
core   +1 more source

Graded Almost Prime Ideals over Non-Commutative Graded Rings

, 2022
The purpose of this article is to define and examine graded almost prime ideals over a non-commutative graded ring, and consider some cases where all graded right ideals of a non-commutative graded ring are graded almost prime.
Shtayat, Jenan, Abu-Dawwas, Rashid, Issa, Ghadeer Bani   +2 more
openaire   +2 more sources

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

Molecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico, Veronica La Banca, Silvia D'Amico, Stefano Scalera, Sara Nicolai, Angelo Peschiaroli   +5 more
wiley   +1 more source

Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules [PDF]

, 2022
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Al-shorman, Tamem, Bataineh, Malik, Bolat, Melis, Ersoy, Bayram Ali   +3 more
core  

Hesitant Fuzzy Prime Ideal of Γ- ring [PDF]

, 2022
In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal.
Karim, Mazen Omran, Ghanim, Rand Shafea, Mazen Omran Karim, Rand Shafea Ghanim   +3 more
core   +1 more source

Unique circulating miRNAome signatures captured with distinct molecular states in Lynch syndrome and sporadic colorectal cancer

Molecular Oncology, EarlyView.
Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso, Md Shohel Ul Islam, Rosa M Xicola, Raj Ramesar, Xavier Llor, Sinclair Steele   +5 more
wiley   +1 more source

Comparing Graded Versions of the Prime Radical

, 1991
Let G be a group with identity e, let λ be a normal supernilpotent radical in the category of associative rings and let λref be the reflected radical in the category of G-graded rings.
Liu S.X., M. A. Beattie, P. N. Stewart
core   +1 more source

The multifaceted roles of lysosomes in cancer

Molecular Oncology, EarlyView.
Lysosomes support cancer cell adaptation by integrating macromolecule degradation and nutrient recycling with nutrient sensing, inter‐organelle communication and immune regulation. These interconnected functions can promote tumour growth, stress tolerance and therapy resistance, while also creating context‐dependent vulnerabilities that may be ...
Jia Li, Kevin M. Ryan
wiley   +1 more source