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 article, we introduce the notion of fuzzy G-module by defining the group action of G on a fuzzy set of a Z-module M. We establish the cases in which fuzzy submodules also become fuzzy G-submodules. Notions of ...In this article, we introduce the notion of fuzzy G-module by defining the group action of G on a fuzzy set of a Z-module M. We establish the cases in which fuzzy submodules also become fuzzy G-submodules. Notions of a fuzzy prime submodule, fuzzy prime G-submodule, fuzzy semi prime submodule, fuzzy G-semi prime submodule, G-invariant fuzzy submodule and G-invariant fuzzy prime submodule of M are introduced and their properties are described. The homomorphic image and pre-image of fuzzy G-submodules, G-invariant fuzzy submodules and G-invariant fuzzy prime submodules of M are also established.展开更多
Let M be a non-zero module over an associative （not necessarily commutative） ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s（M） of ...Let M be a non-zero module over an associative （not necessarily commutative） ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s（M） of second submodules of M and the spectrum Spec-c（M） of coprime submodules of M, study several properties of these spaces and investigate their internlay with the algebraic properties of M.展开更多
In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also...In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also given.展开更多
故障子模块的切除运行会使模块化多电平变换器系统输出不平衡。分析了故障运行期间,由于相与相之间模块的不对称投入,相间环流将明显增大,不及时处理易造成输出过流、子模块过压等的情况。针对无冗余模块的子模块故障问题,使用调制波重...故障子模块的切除运行会使模块化多电平变换器系统输出不平衡。分析了故障运行期间,由于相与相之间模块的不对称投入,相间环流将明显增大,不及时处理易造成输出过流、子模块过压等的情况。针对无冗余模块的子模块故障问题,使用调制波重组方式的故障穿越策略后,证明了相桥臂间仍不对称运行。然后,通过理论推导故障期间以及调制波重组后的环流状态,证明奇次谐波明显增加,并设计了基于二阶广义积分器的多谐波提取控制器,通过准比例谐振调节器完成对环流的抑制。最终,通过Matlab仿真以及10 k W样机平台完成控制策略的验证。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.
文摘In this article, we introduce the notion of fuzzy G-module by defining the group action of G on a fuzzy set of a Z-module M. We establish the cases in which fuzzy submodules also become fuzzy G-submodules. Notions of a fuzzy prime submodule, fuzzy prime G-submodule, fuzzy semi prime submodule, fuzzy G-semi prime submodule, G-invariant fuzzy submodule and G-invariant fuzzy prime submodule of M are introduced and their properties are described. The homomorphic image and pre-image of fuzzy G-submodules, G-invariant fuzzy submodules and G-invariant fuzzy prime submodules of M are also established.
文摘Let M be a non-zero module over an associative （not necessarily commutative） ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s（M） of second submodules of M and the spectrum Spec-c（M） of coprime submodules of M, study several properties of these spaces and investigate their internlay with the algebraic properties of M.
文摘In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also given.
基金Supported by the National Natural Science Foundation of China (10271052) is partially supported by the Specialized Research Fund for the Doctoral Program of China Education Ministry (Grant No. 20030284033).
文摘故障子模块的切除运行会使模块化多电平变换器系统输出不平衡。分析了故障运行期间,由于相与相之间模块的不对称投入,相间环流将明显增大,不及时处理易造成输出过流、子模块过压等的情况。针对无冗余模块的子模块故障问题,使用调制波重组方式的故障穿越策略后,证明了相桥臂间仍不对称运行。然后,通过理论推导故障期间以及调制波重组后的环流状态,证明奇次谐波明显增加,并设计了基于二阶广义积分器的多谐波提取控制器,通过准比例谐振调节器完成对环流的抑制。最终,通过Matlab仿真以及10 k W样机平台完成控制策略的验证。
