Results 81 to 90 of about 115,699 (314)

Prime elements and prime sequences in polynomial rings [PDF]

Proceedings of the American Mathematical Society, 1978
The central question of this note concerns the existence of prime elements in polynomial rings. In it are established for polynomial rings over arbitrary noetherian rings—insofar as is generally possible—certain results concerning bases for maximal ideals, well known for polynomial rings over fields and principal ideal domains.
openaire   +1 more source

TRPM4 contributes to cell death in prostate cancer tumor spheroids, and to extravasation and metastasis in a zebrafish xenograft model system

Molecular Oncology, EarlyView.
Transient receptor potential melastatin‐4 (TRPM4) is overexpressed in prostate cancer (PCa). Knockout of TRPM4 resulted in reduced PCa tumor spheroid size and decreased PCa tumor spheroid outgrowth. In addition, lack of TRPM4 increased cell death in PCa tumor spheroids.
Florian Bochen, Saurav Subedi, Federico La Manna, Sofia Jarrin, Irida Papapostolou, Marianna Kruithof‐de Julio, Christine Peinelt   +6 more
wiley   +1 more source

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

AKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil, Barkha Baloda, Jitender Kumar, A. Somasundaram   +3 more
doaj   +1 more source

DERIVATIONS ON PRIME AND SEMI-PRIME RINGS

Bulletin of the Korean Mathematical Society, 2002
In this paper we will show that if there exist deriva- tions D, G on a n!-torsion free semi-prime ring R such that the mapping D 2 + G is n-commuting on R, then D and G are both commuting on R. And we shall give the algebraic conditions on a ring that a Jordan derivation is zero. Throughout this paper R will be represent an associative ring with center
Yong-Soo Jung, Ick-Soon Chang, Eun Hwi Lee   +2 more
openaire   +3 more sources

Peripheral blood leukocyte signatures as biomarkers in relapsed ovarian cancer patients receiving combined anti‐CD73/anti‐PD‐L1 immunotherapy in arm A of the NSGO‐OV‐UMB1/ENGOT‐OV30 trial

Molecular Oncology, EarlyView.
Using mass cytometry, we analyzed serial blood samples from patients with relapsed epithelial ovarian cancer (EOC) treated with oleclumab–durvalumab combination immunotherapy in the NSGO‐OV‐UMB1/ENGOT‐OV30 trial. Our analysis identified potential predictive, monitoring, and response biomarkers detectable through liquid biopsy. These findings facilitate
Luka Tandaric, Annika Auranen, Katrin Kleinmanns, René DePont Christensen, Liv Cecilie Vestrheim Thomsen, Cara Ellen Wogsland, Emmet McCormack, Johanna Mäenpää, Kristine Madsen, Karen Stampe Petersson, Mansoor Raza Mirza, Line Bjørge   +11 more
wiley   +1 more source

On finiteness of rings with finite maximal subrings

International Journal of Mathematics and Mathematical Sciences, 1993
It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture for PI-rings.
H. E. Bell, A. A. Klein
doaj   +1 more source

On rings whose prime ideals are completely prime

Journal of Pure and Applied Algebra, 2002
AbstractWe investigate in this paper rings whose proper ideals are 2-primal. We concentrate on the connections between this condition and related concepts to this condition, and several kinds of π-regularities of rings which satisfy this condition. Moreover, we add counterexamples to the situations that occur naturally in the process of this note.
Yang Lee, Nam Kyun Kim
openaire   +2 more sources

Prime fuzzy ideals over noncommutative rings [PDF]

, 2010
In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one provided by Kumbhojkar and Bapat in [Not-so-fuzzy fuzzy ideals, Fuzzy Sets and Systems 37 (1990), 237--243], which lacks this equivalence in a noncommutative setting ...
arxiv   +1 more source

Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer

Molecular Oncology, EarlyView.
We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas, Konstantinos Voutetakis, Vivian Kosmidou, Spyridon Tsikalakis, Spyridon Roditis, Konstantinos Pateas, Ryangguk Kim, Kymberleigh Pagel, Stephan Wolf, Gregor Warsow, Antonia Dimitrakopoulou‐Strauss, Georgios N. Zografos, Alexander Pintzas, Johannes Betge, Olga Papadodima, Stefan Wiemann   +15 more
wiley   +1 more source

Tame and wild primes in direct products of commutative rings [PDF]

arXiv, 2022
A complete understanding of the structure of all prime ideals of an infinite direct product of commutative rings (e.g. in terms of more specific objects) has remained a challenging problem for decades. In this article, new advances have been made in this regard.
arxiv