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| 1 | GVW ALGORITHM OVER PRINCIPAL IDEAL DOMAINS显示文摘GVW algorithm was given by Gao,Wang,and Volny in computing a Grbner bases for ideal in a polynomial ring,which is much faster and more simple than F5.In this paper,the authors generalize GVW algorithm and present an algorithm to compute a Grbner bases for ideal when the coefficient ring is a principal ideal domain. | LI Dongmei LIU Jinwang LIU Weijun ZHENG Licui | 2013 | Journal of Systems Science & Complexity2013,26,4: | 0 |
| 2 | A New Signature-Based Algorithms for Computing Gr?bner Bases显示文摘Gao,Volny and Wang(2010) gave a simple criterion for signature-based algorithms to compute Grobner bases.It gives a unified frame work for computing Grobner bases for both ideals and syzygies,the latter is very important in free resolutions in homological algebra.Sun and Wang(2011) later generalized the GVW criterion to a more general situation(to include the F5 Algorithm).Signature-based algorithms have become increasingly popular for computing Grobner bases.The current paper introduces a concept of factor pairs that can be used to detect more useless J-pairs than the generalized GVW criterion,thus improving signature-based algorithms. | ZHENG Licui LIU Jinwang LIU Weijun LI Dongmei | 2015 | Journal of Systems Science & Complexity2015,28,1: | 0 |
| 3 | Dietary supplementation of benzoic acid and essential oils combination enhances intestinal resilience against LPS stimulation in weaned piglets显示文摘Background The benefits of combining benzoic acid and essential oils(BAO)to mitigate intestinal impairment during the weaning process have been well established,while the detailed underlying mechanism has not been fully elucidated.Previous research has primarily focused on the reparative effects of BAO on intestinal injury,while neglecting its potential in enhancing intestinal stress resistance.Methods In this study,we investigated the pre-protective effect of BAO against LPS-induced stress using a modified experimental procedure.Piglets were pre-supplemented with BAO for 14 d,followed by a challenge with LPS or saline to collect blood and intestinal samples.Results Our findings demonstrated that BAO supplementation led to significant improvements in piglets’final weight,average daily gain,and feed intake/body gain ratio.Additionally,BAO supplementation positively influenced the composition of intestinal microbiota,increasing beneficial Actinobacteriota and Alloprevotella while reducing harmful Desulfobacterota,Prevotella and Oscillospira.Furthermore,BAO supplementation effectively mitigated oxidative disturbances and inflammatory responses induced by acute LPS challenge.This was evidenced by elevated levels of T-AOC,SOD,and GSH,as well as decreased levels of MDA,TNF-α,and IL-6 in the plasma.Moreover,piglets subjected to LPS challenge and pre-supplemented with BAO exhibited significant improvements in intestinal morphological structure and enhanced integrity,as indicated by restored expression levels of Occludin and Claudin-1 compared to the non-supplemented counterparts.Further analysis revealed that BAO supplementation enhanced the jejunal antioxidative capacity by increasing GSH-Px levels and decreasing MDA levels under the LPS challenge and stimulated the activation of the Nrf2 signaling pathway.Additionally,the reduction of TLR4/NF-κB/MAPK signaling pathways activation and proinflammatory factor were also observed in the jejunal of those piglets fed with BAO.Conclusions In summary,our study demonstrates that pre-supplementation of BAO enhances the anti-stress capacity of weaned piglets by improving intestinal microbiota composition,reinforcing the intestinal barrier,and enhancing antioxidative and anti-inflammatory capabilities.These effects are closely associated with the activation of Nrf2 and TLR4/NF-κB/MAPK signaling pathways. | Chang Cui Yulong Wei Yibo Wang Wen Ma Xiaoyu Zheng Jun Wang Ziwei Ma Caichi Wu Licui Chu Shihai Zhang Wutai Guan Fang Chen | 2024 | Journal of Animal Science and Biotechnology2024,15,2: | 0 |
| 4 | An Improvement for GVW显示文摘Gao,et al.(2015)gave a simple algorithm to compute Gr?bner bases named GVW.It can be used to compute Gr?bner bases for both ideals and syzygies at the same time,and the latter plays an important role in free resolutions in homological algebra.In GVW algorithms the authors need to compute all the J-pairs firstly and then use GVW criterion(which refers the criterions used in GVW)to determine which one is useless or which one the authors should do top-reduction.In this paper,based on the study of relations between J-pairs,the authors propose the concept of factor.This concept allows the authors to filter the useless J-pairs in a rather convenient way.Moreover,by using this concept,the authors may easily determine which two pairs’J-pair need not to be computed.Besides,the Gr?bner basis which the authors obtained is relatively simpler than the one in GVW. | ZHENG Licui LI Dongmei LIU Jinwang | 2022 | Journal of Systems Science & Complexity2022,35,1: | 0 |