Results 51 to 60 of about 804 (216)

Graphs Induced by W-Regular Rings With Application to Zpn

International Journal of Mathematics and Mathematical Sciences
A ring R is called W-regular if for any non-nilpotent element a of R, there exists an element b of R such that a=aba. This ring is generalized to a regular ring and is a special type of π-regular ring; therefore, some results on rings that are regular ...
Mostafa Amer Khattab, Raida D. Mahmood, Mohammed Th. Al-Neima   +2 more
doaj   +1 more source

On n-flat modules and n-Von Neumann regular rings

International Journal of Mathematics and Mathematical Sciences, 2006
We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
doaj   +1 more source

FORMALLY REGULAR RINGS AND DESCENT OF REGULARITY

Journal of the Institute of Mathematics of Jussieu
AbstractValuation rings and perfectoid rings are examples of (usually non-Noetherian) rings that behave in some sense like regular rings. We give and study an extension of the concept of regular local rings to non-Noetherian rings so that it includes valuation and perfectoid rings and it is related to Grothendieck’s definition of formal smoothness as ...
Javier Majadas, Samuel Alvite, Nerea G. Barral   +2 more
openaire   +3 more sources

The Regular Graph of a Non-Commutative Ring [PDF]

Electronic Notes in Discrete Mathematics, 2013
AbstractLet $R$ be a ring and $Z(R)$ be the set of all zero-divisors of $R$. The total graph of $R$, denoted by $T(\Gamma (R))$ is a graph with all elements of $R$ as vertices, and two distinct vertices $x, y\in R$ are adjacent if and only if $x+ y\in Z(R)$. Let the regular graph of $R$, $\mathrm{Reg} (\Gamma (R))$, be the induced subgraph of $T(\Gamma
Saieed Akbari, Farideh Heydari
openaire   +2 more sources

Loss of proton‐sensing TDAG8 increases tumor progression in mouse models of colon cancer

Molecular Oncology, EarlyView.
Loss of the pH‐sensing receptor TDAG8 accelerates colorectal cancer progression in mice. Animals lacking TDAG8 expression had increased tumor growth, DNA damage, and recruitment of tumor‐associated immune cells, including macrophages, neutrophils, and monocytes.
Ermanno Malagola, Yasmine Illi, Anna Bircher, Marijn Wilmink, Rachele F. Malagutti, Solenn Ottié, Cordelia Schuler, Pedro A. Ruiz, Cheryl de Vallière, Klaus Seuwen, Gerhard Rogler, Martin Hausmann   +11 more
wiley   +1 more source

Regularity Conditions in Nonnoetherian Rings [PDF]

Transactions of the American Mathematical Society, 1971
We show that properties of R R -sequences and the Koszul complex which hold for noetherian local rings do not hold for ...
openaire   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

Inhibition of cyclin‐dependent kinases 12/13 using CT7439 as a treatment for colorectal cancer with CDK12 upregulation

Molecular Oncology, EarlyView.
The proposed mechanism of action for the CDK12/13 inhibitor and cyclin K degrader, CT7439. CDK12/13 inhibition interrupts transcription elongation, leading to increased DNA damage that results in cell death. This agent is a potentially novel treatment option for patients with colorectal cancer. Created in BioRender. Cyclin‐dependent kinase (CDK) 12 and
Wylie K. Watlington, Divya L. Dayanidhi, Mohammad Zokaasadi, John B. Mantyh, Pelumi D. Olawuni, Gabrielle Rupprecht, Jeremy M. Force, Shannon McCall, Ashwani K. Bahl, David S. Hsu, Jason A. Somarelli   +10 more
wiley   +1 more source

Strongly Involution k-regular nil clean ring

NTU Journal of Pure Sciences
This article is about A-rings R, for which every element is a sum of an involution k-regular element and a nilpotent element, which commute with each other. These rings are called strongly involution k-regular nil-clean rings or SIKRNC rings.
Ali Shakir Mahmood, Zubaida Mohammed Ibraheem   +1 more
doaj   +1 more source

-Regular Modules

Journal of Applied Mathematics, 2013
We introduced and studied -regular modules as a generalization of -regular rings to modules as well as regular modules (in the sense of Fieldhouse). An -module is called -regular if for each and , there exist and a positive integer such that .
Areej M. Abduldaim, Sheng Chen
doaj   +1 more source