in this paper we characterize hyper mv -algebras in which 0 or1 are scalar elements . we prove that any nite hyper mv -algebra that 0is a scaler element in it, is an mv -algebra. finally we characterize hypermv -algebras of order 2 and order 3.

In this paper we prove that certain matrix elements of vertex operators of deformed W-algebra satisfy Macdonald difference equations and form n! -dimensional space of solutions. These solutions are the analogues of Harish Chandra solutions with prescribed asymptotic behavior. We obtain formulas for analytic continuation as a consequence of braiding properties of vertex operators of deformed W-a...

In this paper, we deene a max-plus algebra of signals for the evaluation of timing behavior of discrete event systems modeled by timed event graphs. We restrict ourselves to innnite, periodic sequences for which we can compute nite representations called signals. This framework allows us to implement a max-plus algebra for computing supremal controllers for real-time, discrete event systems.

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

We compute the Hochschild cohomology and homology of the algebra Λ = k〈x, y〉/(x2, xy + qyx, y2) with coefficients in 1Λψ for every degree preserving k-algebra automorphism ψ : Λ → Λ. As a result we obtain several interesting examples of the homological behavior of Λ as a bimodule.

in this paper, we generalize some results from hilbert c*-modules to pro-c*-algebra case. we also give a new proof of the known result that l2(a) is ahilbert module over a pro-c*-algebra a.

let $a$ be a $c^*$-algebra and $e$ be a left hilbert $a$-module. in this paper we define a product on $e$ that making it into a banach algebra and show that under the certain conditions $e$  is arens regular. we also study the relationship between derivations of $a$ and $e$.

We devise an algebra of currents and their first time-derivatives designed to damp at high momentum the asymptotic behavior of leptonpair scattering amplitudes from hadrons consequent from the local current algebra of Gell-Mann. Given certain criteria, the algebra we find is unique, and the commutators are expressed linearly in terms of the currents themselves, The Jacobi identity, however, is’...

We introduce a generalization of the Heisenberg algebra which is written in terms of a functional of one generator of the algebra, f(J0), that can be any analytical function. When f is linear with slope θ, we show that the algebra in this case corresponds to q-oscillators for q = tan θ. The case where f is a polynomial of order n in J0 corresponds to a n-parameter deformed Heisenberg algebra. T...

‎Let $mathcal{A}$ be a commutative Banach algebra and $mathscr{X}$ be a left Banach $mathcal{A}$-module‎. ‎We study the set‎ ‎${rm Dec}_{mathcal{A}}(mathscr{X})$ of all elements in $mathcal{A}$ which induce a decomposable multiplication operator on $mathscr{X}$‎. ‎In the case $mathscr{X}=mathcal{A}$‎, ‎${rm Dec}_{mathcal{A}}(mathcal{A})$ is the well-known Apostol algebra of $mathcal{A}$‎. ‎We s...