This research was conducted to answer students' perceptions based on gender towards the e-Module Mathe-matics Physics I linear equations. methodology uses quantitative which is analyzed using statistical and inferential analysis techniques with a sample of 120 students. After testing, results sho-wed that male students female were concluded average value had differences. From difference in stud...

In this paper we study the module contractibility ofBanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. Also weinvestigate module contractibility of Banach algebras with theconcept of the module diagonal.

abstract. let (r,p) be a noetherian unique factorization do-main (ufd) and m be a finitely generated r-module. let i(m)be the first nonzero fitting ideal of m and the order of m, denotedord_r(m), be the largest integer n such that i(m) ⊆ p^n. in thispaper, we show that if m is a module of order one, then either mis isomorphic with direct sum of a free module and a cyclic moduleor m is isomorphi...

We study the Cauchy problem for linear differential equation ∂u/∂t = Fu in module of formal generalized functions over a commutative ring, where F is operator finite or infinite order. prove well-posedness problem, find its fundamental solution, and obtain representation unique solution to form convolution initial condition. These results are specified heat equation, simplest transport one-dime...

Robotic complexes and robotic manipulators are widely used in the management of various objects processes control systems; their performance is directly related to execution element. Electromagnetic actuators multi-function systems structurally created separately for each adjustment body lead system complexity. To solve these problems, improve executive system's weight-gauge indicators, simplif...

In this paper, the effect of the cell-temperature on the performance of photovoltaic (PV) module is evaluated. The evaluation is based on a mathematical module (single diode equivalent circuit) and practically based on solar module tester (SMT). Solara®130W PV crystalline silicon module was used in this simulation. The SMT is able to supply a constant irradiance level (1000W/m2) or any other de...

The grade filtration of a finitely generated left module M over an Auslander regular ring D is a built-in classification of the elements of M in terms of their grades (or their (co)dimensions if D is also a Cohen-Macaulay ring). In this paper, we show how grade filtration can be explicitly characterized by means of elementary methods of homological algebra. Our approach avoids the use of sophis...