We generalize derived equivalences for triangular matrix rings induced by a certain type of classical tilting module introduced by Auslander, Platzeck and Reiten to generalize reflection functors in the representation theory of quivers due to Bernstein, Gelfand and Ponomarev.

In this paper we define the module extension dual Banach algebras and we use this Banach algebras to finding the relationship between weak−continuous homomorphisms of dual Banach algebras and Connes-amenability. So we study the weak∗−continuous derivations on module extension dual Banach algebras.

Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper, we will introduce the secondary radical of a submodule $N$ of $M$ as the sum of all secondary submodules of $M$ contained in $N$, denoted by $sec^*(N)$, and explore the related properties. We will show that this class of modules contains the family of second radicals properly and can be regarded as a dual o...

A novel design of Dual band triangular serrated micro strip patch antenna was designed with different models of serrations and their simulation results are presented in this paper. Equal spaced serrated triangular shapes are etched on four sides of the patch and its performance characteristics are simulated. The number of elements on each side of the antenna is taken as 5,6,7,8 and all the mode...

this paper deals with ridge estimation of fuzzy nonparametric regression models using triangular fuzzy numbers. this estimation method is obtained by implementing ridge regression learning algorithm in the la- grangian dual space. the distance measure for fuzzy numbers that suggested by diamond is used and the local linear smoothing technique with the cross- validation procedure for selecting t...

Origami-inspired foldable structures have seen much recent interest for applications in which transportability or rapid construction are primary design drivers, for example emergency shelters and temporary staging structures. This paper proposes a new type of a structural module that can be manually folded from flat steel sheet into a novel self-braced triangular structural section. Simple geom...