‎In this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎We show that if F is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ‎Rad(F)=F‎. ‎We proved the extension theorem for radical of filters in residuated lattices‎. ‎Also‎, ‎we study the radical‎ ‎of filters in linearly o...

In this paper, we introduce the concepts of n-fold obstinate pseudo-hoop and n-fold obstinate filter in pseudo-hoops. Then we investigated these notions and proved some properties of them. Also, we discussed the relationship between n-fold obstinate pseudo-hoop and n-fold obstinate filter and other types of n-fold pseudo-hoops and n-fold filters such as n-fold (positive) implicative filter and ...

Periodic noises are unwished and spurious signals that create repetitive pattern on images and decreased the visual quality. Firstly, this paper investigates various methods for reducing the effects of the periodic noise in digital images. Then an adaptive optimum notch filter is proposed. In the proposed method, the regions of noise frequencies are determined by analyzing the spectral of noisy...

In [1], Berger and Colmez introduced a theory of families of étale (φ,Γ)-modules associated to families of p-adic Galois representations. Inspired by their works, we consider families of φ-modules over a reduced affinoid algebra where the base is fixed by Frobenius actions. We prove some results in this framework including the semicontinuity of variation of HN-polygons. These results will be ap...

due to the being in the desert bar and ecosystem sensitivity to water , water management in the agricultural sector of the iran is one of the priorities of managers and planners of this section. therefore accurate modeling of the production function, for policies to increase efficiency and reduce the use of inputs, as well as forecasts for the timely supply with low cost, is of utmost importanc...

Let X be a p-divisible group over a regular scheme S such that the Newton polygon in each geometric point of S is the same. Then there is a p-divisible group isogenous to X which has a slope filtration.

For years, the scientific and medical communities have pondered the role of triglycerides in cardiovascular disease (CVD) and mortality risk. Although several studies have shown a relationship between elevated triglyceride levels and CVD, the degree to which triglycerides are independently associated and whether triglycerides directly cause CVD has been hotly debated. This is in contradistincti...