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...

A composite container for an electric vehicle (EV) battery module filled with a phase-change material (PCM) was experimentally tested at various discharge rates. The average cell temperatures 1 C, 2 and 4 C rates, respectively, might reach 38 °C, 50 70 °C in the absence of any heat-absorbing material. temperature noticeably lower PCM present than conventional module. For instance, none cells in...

This is a survey on the usage of the module theoretic notion of a “retractable module" in the study of algebras with actions. We explain how classical results can be interpreted using module theory and end the paper with some open questions.

In this paper, within the constructive algebraic analysis approach to linear systems, we study classical linear systems of partial differential (PD) equations in two or three independent variables with constant coefficients appearing in mathematical physics and engineering sciences such as the Stokes and Oseen equations studied in hydrodynamics. We first provide a precise algebraic description ...

Let G be a nite group, let V be an F G-module of nite dimension d, and denote by (V; G) the minimal number m such that the invariant ring S(V) G is generated by nitely many elements of degree at most m. A classical result of E. Noether says that (V; G) jGj provided that char F is coprime to jGj!. If char F divides jGj then no bounds for (V; G) are known except for very special choices of G. In ...

In this paper a module able to guide the legislative drafter in planning a new bill is presented. This module aims at helping the legislative drafter to build a new act from a conceptual point of view. Using this module the classical drafting process is inverted: the structure of a bill is constructed on the basis of its semantics.

Time series analysis is the statistical approach used to analyze a of data. most popular method for forecasting, which widely in several and economic applications. The wavelet transform powerful mathematical technique that converts an analyzed signal into time-frequency representation. provides information both time domain frequency domain. aims this study are propose function by derivation quo...