Results 41 to 50 of about 1,505,607 (258)
Free product decompositions in images of certain free products of groups
This interesting paper can be summarized as follows. Let \(F\) be the free product of a finite family \(\mathcal A\) of groups and let \(n=|\mathcal A|\). Let \(m< n\) and let \(R\) be the normal closure in \(F\) of \(m\) elements of \(F\). Let \(R_{\mathcal F}=\bigcap_{K\in \mathcal F}K\), where \(\mathcal F\) is an s-filter, and let \(G=F/R_{\mathcal
Romanovskii, N, Wilson, J
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On the intersection of free subgroups in free products of groups [PDF]
AbstractLet (Gi|i∈I) be a family of groups, letFbe a free group, and let$G = F \ast \mathop{\text{\Large $*$}}_{i\in I} G_i,$the free product ofFand all theGi.Let$\mathcal{F}$denote the set of all finitely generated subgroupsHofGwhich have the property that, for eachg∈Gand eachi∈I,$H \cap G_i^{g} = \{1\}.$By the Kurosh Subgroup Theorem, every element ...
Dicks, Warren, Ivanov, S. V.
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Introduction: Colorectal cancer incidences continue to increase annually, worldwide. Herbal plants with antiproliferative properties received research interest as agents that can be adjuvant therapies with chemotherapy drugs to enhance their efficacy and
Thembelihle Nxasana +4 more
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This study used a nitroaliphatic chemistry approach to synthesize a novel artemisinin-derived carba-dimer (AG-1) and determined its anti-proliferative effects in human normal and cancer cells.
Amanda L. Kalen +7 more
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
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Advances in Low-Lactose/Lactose-Free Dairy Products and Their Production
With increasing health awareness worldwide, lactose intolerance has become a major concern of consumers, creating new market opportunities for low-lactose/lactose-free dairy foods.
Aili Li +7 more
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INTERSECTING FREE SUBGROUPS IN FREE PRODUCTS OF GROUPS [PDF]
A subgroup H of a free product [Formula: see text] of groups Gα, α∈ I, is termed factor free if for every [Formula: see text] and β∈I one has SHS-1∩Gβ= {1} (by Kurosh theorem on subgroups of free products, factor free subgroups are free). If K is a finitely generated free group, denote [Formula: see text], where r(K) is the rank of K.
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Free entropy dimension in amalgamated free products [PDF]
The second revised version significantly generalized the main result of the original one, (see the abstract) and contains a new appendix by Wolfgang Lueck. The third and fourth revisions correct some minor mistakes.
Brown, Nathanial P. +2 more
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