In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime ...In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some characterizations of them, especially for （finitely generated faithful） multiplication modules.展开更多
The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equiva...The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given.展开更多
In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the con...In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the concepts of（R,S）-bi-Γ-submodules,quasi-Γ-submodules and regular Γ-modules.Meanwhile,some illustrative examples are given to show the rationality of the definitions introduced in this paper.Second,several new kinds of generalized fuzzy soft Γ-submodules are proposed,and related properties and mutual relationships are also investigated.Third,we discover some intrinsic connections between the generalized fuzzy soft Γ-submodules presented in this paper and crisp Γ-submodules,and describe the relationships between regular Γ-modules and the generalized fuzzy soft Γ-submodules presented in this paper.展开更多
模块化多电平换流器的固态变压器(modular multilevel converter based solid state transformer,MMC-SST)由于具备多电压等级、多电压形态的端口,在交直流混合配电网中得到广泛关注。传统的输入串联输出并联(inputseriesoutput paralle...模块化多电平换流器的固态变压器(modular multilevel converter based solid state transformer,MMC-SST)由于具备多电压等级、多电压形态的端口,在交直流混合配电网中得到广泛关注。传统的输入串联输出并联(inputseriesoutput parallel,ISOP)型MMC-SST具有较高的功率密度,但是在中压直流(medium voltage DC,MVDC)端口短路故障情况下无法持续向低压侧供电;双向有源全桥变换器(dualactive bridge,DAB)型MMC-SST则存在功率密度低、成本高等问题,并且传统的半桥结构的DAB型MMC-SST在MVDC端口短路故障情况下同样无法持续向低压侧供电。文章提出了一种子模块桥臂复用(arm integrated submodule,AISM)型MMC-SST拓扑,在不改变MMC-SST端口电气特性的情况下,在有效减少开关器件数量的同时,还使得SST具备中压直流端口短路故障下的不间断运行能力,进而提升SST的功率密度和供电可靠性。针对文中提出的AISM型MMCSST拓扑,该文还提出了一种针对输入级MMC的混频调制方法,基于共模、差模解耦原理,实现输入级MMC桥臂电压的高频分量和低频分量的解耦。通过理论分析与仿真模拟,验证了所提拓扑及控制方法的可行性。展开更多
In this paper ， we obtain that, if G is either a basic classical Lie superalgebra of I type or G= B(0, n), every Verma module over G has a unique minimal submodule, And this fails for G=F(4).
In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to character...In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to characterize the primary radical of a finitely generated submodule of a free module.展开更多
文摘In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some characterizations of them, especially for （finitely generated faithful） multiplication modules.
文摘The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given.
基金Supported by the National Natural Science Foundation of China (61175055)the Innovation Term of Higher Education of Hubei Province,China (T201109)+1 种基金the Natural Science Foundation of Hubei Province (2012FFB01101)the Natural Science Foundation of Education Committee of Hubei Province (D20131903)
文摘In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the concepts of（R,S）-bi-Γ-submodules,quasi-Γ-submodules and regular Γ-modules.Meanwhile,some illustrative examples are given to show the rationality of the definitions introduced in this paper.Second,several new kinds of generalized fuzzy soft Γ-submodules are proposed,and related properties and mutual relationships are also investigated.Third,we discover some intrinsic connections between the generalized fuzzy soft Γ-submodules presented in this paper and crisp Γ-submodules,and describe the relationships between regular Γ-modules and the generalized fuzzy soft Γ-submodules presented in this paper.
文摘模块化多电平换流器的固态变压器(modular multilevel converter based solid state transformer,MMC-SST)由于具备多电压等级、多电压形态的端口,在交直流混合配电网中得到广泛关注。传统的输入串联输出并联(inputseriesoutput parallel,ISOP)型MMC-SST具有较高的功率密度,但是在中压直流(medium voltage DC,MVDC)端口短路故障情况下无法持续向低压侧供电;双向有源全桥变换器(dualactive bridge,DAB)型MMC-SST则存在功率密度低、成本高等问题,并且传统的半桥结构的DAB型MMC-SST在MVDC端口短路故障情况下同样无法持续向低压侧供电。文章提出了一种子模块桥臂复用(arm integrated submodule,AISM)型MMC-SST拓扑,在不改变MMC-SST端口电气特性的情况下,在有效减少开关器件数量的同时,还使得SST具备中压直流端口短路故障下的不间断运行能力,进而提升SST的功率密度和供电可靠性。针对文中提出的AISM型MMCSST拓扑,该文还提出了一种针对输入级MMC的混频调制方法,基于共模、差模解耦原理,实现输入级MMC桥臂电压的高频分量和低频分量的解耦。通过理论分析与仿真模拟,验证了所提拓扑及控制方法的可行性。
文摘In this paper ， we obtain that, if G is either a basic classical Lie superalgebra of I type or G= B(0, n), every Verma module over G has a unique minimal submodule, And this fails for G=F(4).
文摘In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to characterize the primary radical of a finitely generated submodule of a free module.
