Results 71 to 80 of about 730,391 (289)
$0$-ideals in $0$-distributive posets [PDF]
The concept of a $0$-ideal in $0$-distributive posets is introduced. Several properties of $0$-ideals in $0$-distributive posets are established. Further, the interrelationships between $0$-ideals and $\alpha$-ideals in $0$-distributive posets are ...
Khalid A. Mokbel
doaj +1 more source
The stable set of associated prime ideals of a squarefree principal Borel ideal [PDF]
It is shown that a squarefree principal Borel ideal satisfies the persistence property for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their ...
Aslam, Adnan
core
Linnik's theorem on the least prime in an arithmetic progression is extended to algebraic number fields. The results are formulated in terms of the arithmetic of the field in a sufficiently invariant way that they apply also to the least prime ideal in the Chebotarev density theorem.
openaire +1 more source
Prime splittings of determinantal ideals [PDF]
Final version to appear in Communications in ...
Mohammadi, Fatemeh, Rauh, Johannes
openaire +3 more sources
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
wiley +1 more source
The hull-kernel topology on prime ideals in ordered semigroups
The aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
doaj +1 more source
Prime ideals in certain quantum determinantal rings [PDF]
The ideal I generated by the 2x2 quantum minors in the algebra A = O_q(M_{m,n}(k)) (the quantized coordinate algebra of mxn matrices) is investigated. Analogues of the First and Second Fundamental Theorems of Invariant Theory are proved.
Goodearl, K. R., Lenagan, T. H.
core +1 more source
Molecular cancer prevention: Intercepting disease
Oncological practice must evolve, from treating established tumours to proactive cancer interception before clinical manifestation. This will require mechanistic insight into tumour initiation, validated biomarkers of early disease development and redesigned clinical trials, enabling cancer interception to become a core pillar of oncology with the ...
Charlotte Grieco +2 more
wiley +1 more source
On Binomial Ideals associated to Linear Codes [PDF]
Recently, it was shown that a binary linear code can be associated to a binomial ideal given as the sum of a toric ideal and a non-prime ideal. Since then two different generalizations have been provided which coincide for the binary case. In this paper,
Dück, N., Zimmermann, K. -H.
core
KLK7, a tissue kallikrein‐related peptidase, is elevated in advanced colorectal cancer and associated with shorter survival. High KLK7 levels in ascites correlate with peritoneal metastasis. In mice, KLK7 overexpression increases metastasis. In vitro, KLK7 enhances cancer cell proliferation, migration, adhesion, and spheroid formation, driving ...
Yosr Z. Haffani +6 more
wiley +1 more source

