For a module M over commutative ring R with identity, let RSpec(M) denote the collection of all submodules L Msuch that ?(L:M) is prime ideal and equal to (rad L:M). In this article, we topologies topology which enjoys analogs many properties Zariski on spectrum Spec(M) (as subspace topology). We investigate topological space from point view spectral spaces by establishing interrelations betwee...

A wave function constructed from prime counting is employed to study the properties of primes using quantum dynamics. The gaps are calculated expectation values position and a formula for maximal proposed. In an analogous nonlinear system, trajectories, associated nodes with their stability condition bifurcation dynamics studied classical It interesting note that Lambert W functions appear as n...

In this paper, we relate combinatorial conditions for polarizations of powers the graded maximal ideal with rank on submodules generated by collections Young tableaux. We apply discrete Morse theory to hypersimplex resolution introduced Batzies–Welker show that L-complex Buchsbaum and Eisenbud is supported a CW-complex. then translate “spanning tree condition” Almousa–Fløystad–Lohne characteriz...

This paper establishes the first four moment expansions to the order o(a^−1) of S_{t_{a}}^{prime }/sqrt{t_{a}}, where S_{n}^{prime }=sum_{i=1}^{n}Y_{i} is a simple random walk with E(Yi) = 0, and ta is a stopping time given by t_{a}=inf left{ ngeq 1:n+S_{n}+zeta _{n}>aright}‎ where S_{n}=sum_{i=1}^{n}X_{i} is another simple random walk with E(Xi) = 0, and {zeta _{n},ngeq 1} is a sequence of ran...

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...

In this paper, the modified couple stress theory is used to study vibration analysis of functionally graded rectangular micro-plates. Considering classical and first order plate theories, the couple governing equations of motion are obtained by using the Hamilton’s principle. Considering an assumed mode method, the accurate size dependent natural frequencies are established for simply supported...

In the present article, buckling analysis of functionally graded annular thin and moderately thick plates under mechanical and thermal loads is investigated. The equilibrium and stability equations of the plate are obtained based on both classical and first order shear deformation plate theories. By using an analytical method, the coupled stability equations are converted to independent equatio...

The “character values” of the irreducible projective representations of Sk, the symmetric group of degree k, were determined by I. Schur using Schur’sQ-functions, which are indexed by the distinct partitions of k, [10], in a way analogous to Frobenius’ formula for the character values of the ordinary irreducible representations of Sk [2]. Behind Frobenius’ formula exists a duality relation of S...