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Homogeneity in relatively free groups

Oleg Belegradek
2012 Archive for Mathematical Logic  
We prove that any torsion-free, residually finite relatively free group of infinite rank is not ℵ 1 -homogeneous. This generalizes R.  ...  Sklinos' result that a free group of infinite rank is not ℵ1-homogeneous, and, in particular, gives a new simple proof of that result.  ...  Sklinos [9] proved that any free group of finite rank is strongly homogeneous. Also, it is shown in [9] that any free group is strongly ℵ 0 -homogeneous. R.  ... 
doi:10.1007/s00153-012-0298-3 fatcat:hczox2eiendsdncu6mwbohj45q

Between Morphic and Hopfian

Grigore Calugareanu, Lavinia Pop
2013 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
Relatively morphic submodules are defined and a new class of modules between morphic and Hopfian modules is singled out. Special care is given to the Abelian groups case.  ...  The finite rank divisible part D(G) is relatively morphic in a torsion-free group G if its reduced part is of rank 1.  ...  (b) The pure subgroups in a divisible group are divisible and hence direct summands. In finite rank torsion-free divisible groups (these are morphic) all subgroups are relatively morphic.  ... 
doi:10.2478/auom-2013-0042 fatcat:2kan5roejjdbdoll6c4ohv2efy

Evaluating the Role of Hepatobiliary Phase of Gadoxetic Acid-Enhanced Magnetic Resonance Imaging in Predicting Treatment Impact of Lenvatinib and Atezolizumab plus Bevacizumab on Unresectable Hepatocellular Carcinoma

Ryu Sasaki, Kazuyoshi Nagata, Masanori Fukushima, Masafumi Haraguchi, Satoshi Miuma, Hisamitsu Miyaaki, Akihiko Soyama, Masaaki Hidaka, Susumu Eguchi, Masaya Shigeno, Mio Yamashima, Shinobu Yamamichi (+4 others)
2022 Cancers  
In the lenvatinib group, progression-free survival (PFS) was not different between the heterogeneous and homogenous types (p = 0.688) or between the hyperintensity and hypointensity types (p = 0.757).  ...  Results: The hyperintensity type (RER ≥ 0.9) was 18.2% in the lenvatinib group and 20.0% in the atezolizumab plus bevacizumab group.  ...  Progression-free survival (PFS) stratified by relative enhancement ratio: (a) Kaplan-Meier curve of PFS in the lenvatinib group (n = 33).  ... 
doi:10.3390/cancers14030827 pmid:35159095 pmcid:PMC8834002 fatcat:ryny76sxl5ewrfd2yyz37s4ovq

State of collagenolysis in experimental periodontitis of bacterial-immune genesis and its correction with flavonol

A.Ye. Demkovych, Yu.I. Bondarenko, O.O. Fastovets, A.O. Hrad, P.A. Hasiuk, O.V. Denefil
2021 Medičnì Perspektivi  
by a decrease in free oxyproline in bone and soft tissue homogenates of experimental animals.  ...  During the acute phase of the inflammatory process in rats there was revealed a slight increase in blood free oxyproline in bone homogenate and homogenate of soft periodontal tissues, on the 14th day the  ...  (by1.19 times; p<0.05) of content of free oxyproline in bone homogenate, taken from the mandible, relative to the intact group (Table ) .  ... 
doi:10.26641/2307-0404.2021.2.234488 fatcat:hvaulx5nijbfzmltytptzzh36a

Homogeneity in the free group [article]

Chloé Perin, Rizos Sklinos
2010 arXiv   pre-print
We show that any non abelian free group is strongly _0-homogeneous, i.e. that finite tuples of elements which satisfy the same first-order properties are in the same orbit under ().  ...  We give a characterization of elements in finitely generated groups which have the same first-order properties as a primitive element of the free group.  ...  In this paper, we apply these techniques to study types of elements and homogeneity in torsion-free hyperbolic groups, and more particularly in free and surface groups.  ... 
arXiv:1003.4095v1 fatcat:ww354mmax5ax7egnyao2hgaqcq

Rhizosphere Soil Microbial Community Under Ice in a High-Latitude Wetland: Different Community Assembly Processes Shape Patterns of Rare and Abundant Microbes

Jiaming Ma, Kang Ma, Jingling Liu, Nannan Chen
2022 Frontiers in Microbiology  
In contrast, during the ice-free stage, ecological drift processes were more important in the Scirpus rhizosphere, and ecological drift and homogeneous selection processes were more important in the Phragmites  ...  and ice-free stages.  ...  Therefore, homogeneous selection controlled more fungi in the ice-free stage compared to the ice-covered stage.  ... 
doi:10.3389/fmicb.2022.783371 pmid:35677902 pmcid:PMC9169045 fatcat:3zy6fao4jfhfjmmy5urgy65b5m

Virtually free groups are almost homogeneous [article]

Simon André
2018 arXiv   pre-print
Moreover, we prove that there exists a virtually free group which is not ∃-homogeneous. We also prove that all hyperbolic groups are homogeneous in a probabilistic sense.  ...  Free groups are known to be homogeneous, meaning that finite tuples of elements which satisfy the same first-order properties are in the same orbit under the action of the automorphism group.  ...  An example: the group SL 2 (Z) 14 4. Isomorphism between relative one-ended factors 16 5. A non-∃-homogeneous virtually free group 24 6. Uniform almost-homogeneity in virtually free groups 26 7.  ... 
arXiv:1810.11200v1 fatcat:poskxkw2gbegdcj3arodcbcizy

An extension of the concept of inertial frame and of Lorentz transformation

Edward H. Kerner
1976 Proceedings of the National Academy of Sciences of the United States of America  
Moreover, the homogeneous EOF transformations, those with the additive constant terms as absent in the numerator, separately form a group.  ...  Lorentz group in the limit that b becomes infinite.  ...  Our result is that the Law of Inertia, in and by itself, admits an extension of the Lorentz group; the parameters of the extended group are all bound together in rotations in the space of homogeneous coordinates  ... 
doi:10.1073/pnas.73.5.1418 pmid:16592318 pmcid:PMC430307 fatcat:e5bg2rhxgngjfp566hqachsqay

Comparison of in vivo degradation of 125I-labeled peptidoglycan-polysaccharide fragments from group A and group D streptococci

S A Stimpson, R E Esser, W J Cromartie, J H Schwab
1986 Infection and Immunity  
Gel filtration analyses of liver and spleen homogenates indicated that group A PG-PS was relatively resistant to degradation, whereas group D PG-PS was extensively degraded to yield a heterogeneous mixture  ...  There was no significant difference in the content of group A PG-PS versus that of group D in joints or blood samples.  ...  of arthritis, even in the case of the relatively persistent group A PG-PS.  ... 
pmid:3516872 pmcid:PMC261011 fatcat:4ls2kbfk5bbllckt2q2ld3wkoa

Phycosphere microbial succession patterns and assembly mechanisms in a marine dinoflagellate bloom

Jin Zhou, Guo-Fu Chen, Ke-Zhen Ying, Hui Jin, Jun-Ting Song, Zhong-Hua Cai
2019 Applied and Environmental Microbiology  
In the free-living bacterial community, homogeneous selection and dispersal limitation dominated in the initial phase, which gave way to more deterministic processes at the two later stages.  ...  Both free-living and attached bacterial groups had a dramatic response to the HAB, and the relative importance of determinism versus stochasticity varied between the two bacterial groups at various bloom  ...  In the free-living group, fluctuations were detected throughout the HAB period.  ... 
doi:10.1128/aem.00349-19 pmid:31126952 pmcid:PMC6643250 fatcat:7e5dnhof6fhaxbwv4r4bdd7z6y

Artemether-lumefantrine Improved Superoxide Dismutase Co-regulation Related Antioxidant Defense in Monosodium Glutamate-induced Oxidative Stress in Rats

Anthony Cemaluk C., Ebere Mercy Chuk, Wisdom Chibuzor, Emmanuel Obi, Nnaemeka Raymond Ez, Cynthia Uchechi Si, Justina Utodinachi
2020 Asian Journal of Biochemistry  
Results: The higher serum and liver homogenate zinc concentration (µg dLG 1 ) in all groups relative to MSG was particularly marked (264.91±1.89, 174.04±1.33; p<0.05) in AL overdose plus MSG-intoxicated  ...  Amid an unclear-cut change, SOD activity (IU LG 1 ) in the rats' liver homogenate was highest (1.14±0.00, p<0.05) in MSG-treated rats relative to control.  ...  liver homogenate relative to rats in the MSG group (Table 4 ).  ... 
doi:10.3923/ajb.2020.42.49 fatcat:lndngjwcbjf57osa54hsk5jyre

In vitro stability evaluation of coated lipase

Lu Jie Liu, Jia Zhu, Bin Wang, Chu Cheng, Yong Jie Du, Min Qi Wang
2016 Asian-Australasian Journal of Animal Sciences  
Higher relative activities of lipase were observed in CT-LIP group compared with the free one under acidic ambient (pH 3 to 7) and an alkaline medium (pH 8 to 12).  ...  Free lipase (uncoated lipase, UC-LIP) was the control group. Lipase relative activities measured in various treatments were used as a reference frame to characterize the stability.  ...  As shown in Figure 2 , more of the higher relative activities of lipase were observed in CT-LIP group compared with the free one under acidic ambient (pH 3 to 7) and an alkaline medium (pH 8 to 12).  ... 
doi:10.5713/ajas.16.0370 pmid:27507179 pmcid:PMC5205606 fatcat:wrp2zx7n4vcplkmkufv5t7iane

Diversity Distribution, Driving Factors and Assembly Mechanisms of Free-Living and Particle-Associated Bacterial Communities at a Subtropical Marginal Sea

Huatao Yuan, Tangcheng Li, Hongfei Li, Cong Wang, Ling Li, Xin Lin, Senjie Lin
2021 Microorganisms  
Free-living (FL) and particle-associated (PA) bacterioplankton communities play critical roles in biogeochemical cycles in the ocean.  ...  Homogeneous selection (Hos) was more responsible for the assembly and turnover of FL, while drift and dispersal limitation contributed more to the assembly of PA.  ...  We are also indebted to the crew and participants of the R/V "Yanping 2" cruise for assistance in sampling.  ... 
doi:10.3390/microorganisms9122445 pmid:34946047 pmcid:PMC8704526 fatcat:bklvdgaltrdvpc2s7hn6tymotq


Temidayo Ogunmoyole, Racheal Imoleayo Adeyeye, Beatrice Oluwatosin Olatilu, Olubukola Abidemi Akande, Oluwadare Joel Agunbiade
2019 Toxicology Reports  
serum relative to the control group.  ...  Results indicated that Datura stramonium seed extract generally caused a significant decrease in ALT, AST, ALP and MDA in selected tissue homogenates while these parameters increased significantly in the  ...  Acknowledgements The authors acknowledged the support of the Department of Medical Biochemistry, Ekiti State University, Ado Ekiti, Nigeria for free usage of the laboratory.  ... 
doi:10.1016/j.toxrep.2019.09.011 pmid:31673500 pmcid:PMC6816135 fatcat:ouqwaplyizgf3lvv6xhkvrptse

Antioxidant property of aminophylline in rat brain

Mrinal Pal, Subinay Datta, Maloy Mandol
2015 Al Ameen Journal of Medical Sciences  
Method: Male Wister rats (n = 34) were randomly selected and divided into three groups. The whole rat brains all rats were homogenized in 1:10 cold Tris–HCl buffer by using homogenizer.  ...  Further in vitro and in vivo studies are needed to evaluate the free radical scavenging effect of aminophylline.  ...  Further, the brain contains relatively high concentration of easily peroxidiable fatty acids [5] and it is known that certain regions of brain are highly enriched in iron, a metal that in its free form  ... 
doaj:20f49433af2647a4b3a58cb021ca3e9f fatcat:fkdg5r7ddbavjjlofhwdtrtb3a
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