Results 41 to 50 of about 903,684 (295)

The Spectrum of the Graded Ring of Differential Operators of a Scored Semigroup Algebra [PDF]

, 2010
We describe the set of Zd-graded prime ideals of the graded ring of the ring D of differential operators of a scored semigroup algebra.
Saito, Mutsumi, Mutsumi Saito
core   +1 more source

On Groupoid Graded Rings

Journal of Algebra, 1995
Let \({\mathcal K}\) be a class of rings which is closed under homomorphic images, ring extensions, one-sided ideals and contains all rings with zero multiplication. Rings \(R=\bigoplus_{s\in S} R_s\) graded by finite groupoids \(S\) are considered. It is shown that the condition: for all finite groupoids \(S\) and all \(S\)-graded rings \(R\), \(R ...
openaire   +2 more sources

F-THRESHOLDS OF GRADED RINGS [PDF]

Nagoya Mathematical Journal, 2016
The$a$-invariant, the$F$-pure threshold, and the diagonal$F$-threshold are three important invariants of a graded$K$-algebra. Hirose, Watanabe, and Yoshida have conjectured relations among these invariants for strongly$F$-regular rings. In this article, we prove that these relations hold only assuming that the algebra is$F$-pure.
De Stefani A, Nunez-Betancourt L
openaire   +4 more sources

Graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
doaj   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

On the Stability of Graded Rings

Journal of Algebra, 1994
If \(R\) is a ring graded by the integers, which is noetherian and left graded regular, such that every finitely generated graded projective \(R\)- module is graded stably free, then it is shown that the corresponding ungraded property holds. Some applications to Rees rings of Zariskian filtered rings are given.
openaire   +2 more sources

On graded classical 2-absorbing submodules of graded modules over graded commutative rings [PDF]

, 2018
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we will in- troduce the concept of graded classical 2-absorbing submodules of graded modules over a graded commutative ring as a ...
Al-Azaizeh, Mariam, Al-Zoubi, Khaldoun
core   +1 more source

Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids

Pediatric Blood &Cancer, EarlyView.
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz, Se Whee Sammy Park, Aironas Los, Ernest Liu, Nona Struyf, Tom Erkers, Sören Lehmann, Jan J. Molenaar, Jakob Stenman, Olli Kallioniemi, Päivi Östling, Brinton Seashore‐Ludlow, Kasper Karlsson   +12 more
wiley   +1 more source

Social Functioning Within the First Years After Pediatric Brain Tumor Diagnosis and the Relationship With Family Psychosocial Risk

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben, Marisa H. Huisman, Martha A. Grootenhuis, Femke K. Aarsen, Marita Partanen   +4 more
wiley   +1 more source

Commutativity and ideals in category crossed products; pp. 338–346 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring.
Johan Öinert, Patrik Lundström
doaj   +1 more source