Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown: (1) G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F a...Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown: (1) G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F and every maximal subgroup of all Sylow subgroups of H is either c-normal or s-quasinormally embedded in G; (2) G ∈F if and only if there is a soluble normal subgroup H such that G/H∈F and every maximal subgroup of all Sylow subgroups of F(H), the Fitting subgroup of H, is either e-normally or s-quasinormally embedded in G.展开更多
Recently,fuzzy multi-sets have come to the forefront of scientists’interest and have been used in algebraic structures such asmulti-groups,multirings,anti-fuzzy multigroup and(α,γ)-anti-fuzzy subgroups.In this pape...Recently,fuzzy multi-sets have come to the forefront of scientists’interest and have been used in algebraic structures such asmulti-groups,multirings,anti-fuzzy multigroup and(α,γ)-anti-fuzzy subgroups.In this paper,we first summarize the knowledge about the algebraic structure of fuzzy multi-sets such as(α,γ)-anti-multi-fuzzy subgroups.In a way,the notion of anti-fuzzy multigroup is an application of anti-fuzzy multi sets to the theory of group.The concept of anti-fuzzy multigroup is a complement of an algebraic structure of a fuzzy multi set that generalizes both the theories of classical group and fuzzy group.The aim of this paper is to highlight the connection between fuzzy multi-sets and algebraic structures from an anti-fuzzification point of view.Therefore,in this paper,we define(α,γ)-antimulti-fuzzy subgroups,(α,γ)-anti-multi-fuzzy normal subgroups,(α,γ)-antimulti-fuzzy homomorphism on(α,γ)-anti-multi-fuzzy subgroups and these been explicated some algebraic structures.Then,we introduce the concept(α,γ)-anti-multi-fuzzy subgroups and(α,γ)-anti-multi-fuzzy normal subgroups and of their properties.This new concept of homomorphism as a bridge among set theory,fuzzy set theory,anti-fuzzy multi sets theory and group theory and also shows the effect of anti-fuzzy multi sets on a group structure.Certain results that discuss the(α,γ)cuts of anti-fuzzy multigroup are explored.展开更多
Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = ...Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature.展开更多
近些年,无线医疗传感器网络(Wireless Medicine Sensor Networks,WMSNs)得到了广泛的应用。WMSNs提高了患者护理质量,但同时也存在许多安全隐患。为了保护患者数据的隐私安全,Yi等人提出了一个基于Paillier密码系统的分布式ElGamal密码...近些年,无线医疗传感器网络(Wireless Medicine Sensor Networks,WMSNs)得到了广泛的应用。WMSNs提高了患者护理质量,但同时也存在许多安全隐患。为了保护患者数据的隐私安全,Yi等人提出了一个基于Paillier密码系统的分布式ElGamal密码系统。然而,Rao分析了他们的方案并展示了一种可行的攻击,该攻击允许攻击者获取密钥。因此,是否可以将具有加法同态性质的密码系统修改为安全的分布式解密系统,以实现更简单的分布式密钥生成和更高效的分布式解密仍然是一个挑战。针对上述挑战,该文提出了一种基于Castagnos和Laguillaumie(CL)加密的改进分布式解密系统,并对未知阶群G上的离散对数关系给出了有效的零知识证明。与其他分布式解密系统相比,基于CL加密的改进分布式系统具有良好的性能、更可靠的设置、更高的安全级别。展开更多
试验应用Meta分析评估日粮中添加枯草芽孢杆菌对肉鸡生长性能的影响,为枯草芽孢杆菌在家禽生产中的应用提供理论依据。检索收集2017年1月1日至2023年4月1日在中国知网、万方数据库、Web of Science、PubMed等数据库中发表的枯草芽孢杆...试验应用Meta分析评估日粮中添加枯草芽孢杆菌对肉鸡生长性能的影响,为枯草芽孢杆菌在家禽生产中的应用提供理论依据。检索收集2017年1月1日至2023年4月1日在中国知网、万方数据库、Web of Science、PubMed等数据库中发表的枯草芽孢杆菌对肉鸡生长性能影响的相关文献,利用Review Manager 5.4和Stata 17进行Meta数据分析、亚组分析及敏感性分析并绘制相关图表。结果表明:在日粮中添加枯草芽孢杆菌,可以显著提高肉鸡的平均日增重(ADG)[SMD=2.02,95%CI(1.49,2.55),P<0.00001]、平均日采食量(ADFI)[SMD=0.57,95%CI(0.08,1.06),P=0.02<0.05],降低料重比(F/G)[SMD=-1.40,95%CI(-2.05,-0.75),P<0.0001]。综上所述,日粮中添加枯草芽孢杆菌可以提高肉鸡的ADG、ADFI,降低F/G,提高生长性能。展开更多
目的:激素性股骨头坏死家兔模型是最常用的股骨头坏死动物模型,其股骨头病理学改变与临床较为接近,但目前国内外报道的造模条件、方法和评价标准等均不统一,导致所建立动物模型的科学价值低、难于推广应用。此次研究旨在明确不同造模条...目的:激素性股骨头坏死家兔模型是最常用的股骨头坏死动物模型,其股骨头病理学改变与临床较为接近,但目前国内外报道的造模条件、方法和评价标准等均不统一,导致所建立动物模型的科学价值低、难于推广应用。此次研究旨在明确不同造模条件对激素性股骨头坏死家兔模型建立的影响,分析模型成功建立的适宜条件。方法:检索中国知网、万方、维普、中国生物医学文献服务系统、Web of Science、PubMed和EMbase数据库中截至2022-04-01前有关激素性股骨头坏死家兔造模的文献,依据纳排标准以及文献质量评价等完成对文献的筛选并提取文献中结局指标数据,运用RevMan、Stata和ADDIS统计软件对纳入数据进行Meta分析。结果:(1)最终纳入82篇文献,共1366只家兔纳入研究,激素性股骨头坏死造模方法分为单纯激素法、激素联合脂多糖法和激素联合血清法3种,其中单纯激素法33篇文献,激素联合脂多糖法20篇文献,激素联合血清法29篇文献;(2)Meta分析结果显示,3种造模方法均能显著增加激素性股骨头坏死家兔股骨头空骨陷窝率(P<0.001),显著降低激素性股骨头坏死家兔股骨头骨小梁面积比(P<0.001);各造模方法的空骨陷窝率排序结果为:激素联合脂多糖法>单纯激素法>激素联合血清法>正常组;骨小梁面积比排序结果:正常组>激素联合血清法>单纯激素法>激素联合脂多糖法;(3)亚组分析结果提示:单纯激素诱导的家兔模型空骨陷窝率可能与家兔品种和造模用激素种类有关(组间差异P<0.05),其中新西兰白兔合并效应量高于中国白兔(P<0.05)和日本白兔,地塞米松合并效应量高于其他激素种类;激素联合脂多糖诱导的模型空骨陷窝率与激素种类和脂多糖给药模式有关(组间差异P<0.05),其中甲泼尼龙琥珀酸钠合并效应量显著高于其他激素种类(P<0.05),泼尼松龙合并效应量显著低于其他激素种类(P<0.05),脂多糖100μg/kg×2次的合并效应量显著低于10μg/kg×2次和50μg/kg×2次(P<0.05);激素联合血清诱导的模型空骨陷窝率与激素种类和血清剂量有关(组间差异P<0.05),其中地塞米松磷酸钠合并效应量显著高于其他激素种类(P<0.05),地塞米松合并效应量显著低于其他激素种类(P<0.05),血清“10 mL/kg+6 mL/kg”组合剂量的合并效应量低于其他血清剂量(P<0.05)。结论:(1)以空骨陷窝率和骨小梁面积比作为模型成功建立的判断标准,3种造模方法都可成功构建家兔激素性股骨头坏死模型,其中激素联合脂多糖法最优;(2)选择单纯激素法时建议使用新西兰白兔和地塞米松,选择激素联合脂多糖法时建议使用甲泼尼龙琥珀酸钠和低剂量脂多糖,选择激素联合血清造模法时建议使用地塞米松磷酸钠。展开更多
基金the Natural Science Foundation of Chinathe Natural Science Foundation of Guangxi Autonomous Region (No.0249001)
文摘Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown: (1) G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F and every maximal subgroup of all Sylow subgroups of H is either c-normal or s-quasinormally embedded in G; (2) G ∈F if and only if there is a soluble normal subgroup H such that G/H∈F and every maximal subgroup of all Sylow subgroups of F(H), the Fitting subgroup of H, is either e-normally or s-quasinormally embedded in G.
基金Yibin University Pre-research Project,Research on the coupling and coordinated development ofmanufacturing and logistics industry under the background of intelligentmanufacturing,(2022YY001)Sichuan ProvincialDepartment of EducationWater Transport EconomicResearch Center,Research on the Development Path and Countermeasures of the Advanced Manufacturing Industry in the Sanjiang New District of Yibin under a“dual circulation”development pattern(SYJJ2020A06).
文摘Recently,fuzzy multi-sets have come to the forefront of scientists’interest and have been used in algebraic structures such asmulti-groups,multirings,anti-fuzzy multigroup and(α,γ)-anti-fuzzy subgroups.In this paper,we first summarize the knowledge about the algebraic structure of fuzzy multi-sets such as(α,γ)-anti-multi-fuzzy subgroups.In a way,the notion of anti-fuzzy multigroup is an application of anti-fuzzy multi sets to the theory of group.The concept of anti-fuzzy multigroup is a complement of an algebraic structure of a fuzzy multi set that generalizes both the theories of classical group and fuzzy group.The aim of this paper is to highlight the connection between fuzzy multi-sets and algebraic structures from an anti-fuzzification point of view.Therefore,in this paper,we define(α,γ)-antimulti-fuzzy subgroups,(α,γ)-anti-multi-fuzzy normal subgroups,(α,γ)-antimulti-fuzzy homomorphism on(α,γ)-anti-multi-fuzzy subgroups and these been explicated some algebraic structures.Then,we introduce the concept(α,γ)-anti-multi-fuzzy subgroups and(α,γ)-anti-multi-fuzzy normal subgroups and of their properties.This new concept of homomorphism as a bridge among set theory,fuzzy set theory,anti-fuzzy multi sets theory and group theory and also shows the effect of anti-fuzzy multi sets on a group structure.Certain results that discuss the(α,γ)cuts of anti-fuzzy multigroup are explored.
基金supported by the Deanship of Scientific Research(DSR) at King Abdulaziz University(KAU) represented by the Unit of Research Groups through the grant number(MG/31/01) for the group entitled "Abstract Algebra and its Applications"
文摘Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature.
文摘近些年,无线医疗传感器网络(Wireless Medicine Sensor Networks,WMSNs)得到了广泛的应用。WMSNs提高了患者护理质量,但同时也存在许多安全隐患。为了保护患者数据的隐私安全,Yi等人提出了一个基于Paillier密码系统的分布式ElGamal密码系统。然而,Rao分析了他们的方案并展示了一种可行的攻击,该攻击允许攻击者获取密钥。因此,是否可以将具有加法同态性质的密码系统修改为安全的分布式解密系统,以实现更简单的分布式密钥生成和更高效的分布式解密仍然是一个挑战。针对上述挑战,该文提出了一种基于Castagnos和Laguillaumie(CL)加密的改进分布式解密系统,并对未知阶群G上的离散对数关系给出了有效的零知识证明。与其他分布式解密系统相比,基于CL加密的改进分布式系统具有良好的性能、更可靠的设置、更高的安全级别。
文摘目的:激素性股骨头坏死家兔模型是最常用的股骨头坏死动物模型,其股骨头病理学改变与临床较为接近,但目前国内外报道的造模条件、方法和评价标准等均不统一,导致所建立动物模型的科学价值低、难于推广应用。此次研究旨在明确不同造模条件对激素性股骨头坏死家兔模型建立的影响,分析模型成功建立的适宜条件。方法:检索中国知网、万方、维普、中国生物医学文献服务系统、Web of Science、PubMed和EMbase数据库中截至2022-04-01前有关激素性股骨头坏死家兔造模的文献,依据纳排标准以及文献质量评价等完成对文献的筛选并提取文献中结局指标数据,运用RevMan、Stata和ADDIS统计软件对纳入数据进行Meta分析。结果:(1)最终纳入82篇文献,共1366只家兔纳入研究,激素性股骨头坏死造模方法分为单纯激素法、激素联合脂多糖法和激素联合血清法3种,其中单纯激素法33篇文献,激素联合脂多糖法20篇文献,激素联合血清法29篇文献;(2)Meta分析结果显示,3种造模方法均能显著增加激素性股骨头坏死家兔股骨头空骨陷窝率(P<0.001),显著降低激素性股骨头坏死家兔股骨头骨小梁面积比(P<0.001);各造模方法的空骨陷窝率排序结果为:激素联合脂多糖法>单纯激素法>激素联合血清法>正常组;骨小梁面积比排序结果:正常组>激素联合血清法>单纯激素法>激素联合脂多糖法;(3)亚组分析结果提示:单纯激素诱导的家兔模型空骨陷窝率可能与家兔品种和造模用激素种类有关(组间差异P<0.05),其中新西兰白兔合并效应量高于中国白兔(P<0.05)和日本白兔,地塞米松合并效应量高于其他激素种类;激素联合脂多糖诱导的模型空骨陷窝率与激素种类和脂多糖给药模式有关(组间差异P<0.05),其中甲泼尼龙琥珀酸钠合并效应量显著高于其他激素种类(P<0.05),泼尼松龙合并效应量显著低于其他激素种类(P<0.05),脂多糖100μg/kg×2次的合并效应量显著低于10μg/kg×2次和50μg/kg×2次(P<0.05);激素联合血清诱导的模型空骨陷窝率与激素种类和血清剂量有关(组间差异P<0.05),其中地塞米松磷酸钠合并效应量显著高于其他激素种类(P<0.05),地塞米松合并效应量显著低于其他激素种类(P<0.05),血清“10 mL/kg+6 mL/kg”组合剂量的合并效应量低于其他血清剂量(P<0.05)。结论:(1)以空骨陷窝率和骨小梁面积比作为模型成功建立的判断标准,3种造模方法都可成功构建家兔激素性股骨头坏死模型,其中激素联合脂多糖法最优;(2)选择单纯激素法时建议使用新西兰白兔和地塞米松,选择激素联合脂多糖法时建议使用甲泼尼龙琥珀酸钠和低剂量脂多糖,选择激素联合血清造模法时建议使用地塞米松磷酸钠。