Structure of Linear Sets
نویسنده
چکیده
In general only vector spaces whose scalar domains are fields have been investigated. In this paper we study vector spaces whose scalar domains are integral domains in which every ideal has a finite basis. It is shown that the theory of the linear subsets of such a vector space can be developed by using exactly the same technique which has always been applied to the ideals of an integral domain. This technique is established in the first two sections and is then used to develop the Noether decomposition theory of linear sets into "primary" linear sets.
منابع مشابه
A Flexible Link Radar Control Based on Type-2 Fuzzy Systems
An adaptive neuro fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part is presented in this paper. The capability of the proposed method (we named ANFIS2) for function approximation and dynamical system identification is remarkable. The structure o...
متن کاملLinear v{C}ech closure spaces
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and pro...
متن کاملEffects of the Soil-Foundation-Structure Interaction on the Component Demand Modifier Factor of Concrete Gravity Beams based on ASCE 41-06 Standard
The aim of the present paper is to evaluate the influence of the Soil- Foundation- Structure Interaction (SFSI) effects on the component demand modifier factor of concrete gravity beams based on ASCE 41-06 standard. To this end, the beam on the nonlinear Winkler foundation approach is employed which is a simple and efficient method. At first, four sets of 3-, 6-, 10- and 15-storey concrete mome...
متن کاملAdaptive Inverse Control of Flexible Link Robot Using ANFIS Based on Type-2 Fuzzy
This paper presents a novel adaptive neuro-fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part. The capability of the proposed ANFIS2 for function approximation and dynamical system identification is remarkable. The structure of ANFIS2 is very sim...
متن کاملConnected and Hyperconnected Generalized Topological Spaces
A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specic properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component in generalized topological spaces.
متن کاملA New Type-2 Fuzzy Systems for Flexible-Joint Robot Arm Control
In this paper an adaptive neuro fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part is presented. The capability of the proposed method (we named ANFIS2) to function approximation and dynamical system identification is shown. The ANFIS2 structure ...
متن کامل