Results 71 to 80 of about 730,391 (289)

$0$-ideals in $0$-distributive posets [PDF]

open access: yesMathematica Bohemica, 2016
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]

open access: yes, 2013
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  

The least prime ideal.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1983
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]

open access: yesCommunications in Algebra, 2018
Final version to appear in Communications in ...
Mohammadi, Fatemeh, Rauh, Johannes
openaire   +3 more sources

CD47 promotes mitogen‐activated protein kinase and epithelial‐to‐mesenchymal transition molecular programs to drive prometastatic phenotypes in non‐small cell lung cancer

open access: yesMolecular Oncology, EarlyView.
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

open access: yesOpen Mathematics
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]

open access: yes, 1998
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

open access: yesMolecular Oncology, EarlyView.
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]

open access: yes, 2014
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 overexpression promotes an aggressive phenotype and facilitates peritoneal dissemination in colorectal cancer cells

open access: yesFEBS Open Bio, EarlyView.
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

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