Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.

In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings and the solutions set of equilibrium problems. Some strong convergence theorems of the proposed iterative scheme are established by using the concept of W -mappings of a countable family of ...

The trace variational identity is generalized to zero curvature equations associated with non-semi-simple Lie algebras or, equivalently, Lie algebras possessing degenerate Killing forms. An application of the resulting generalized variational identity to a class of semi-direct sums of Lie algebras in the AKNS case furnishes Hamiltonian and quasi-Hamiltonian structures of the associated integrab...

In this paper, we obtain the distribution functions of the range and the quasi-range of the random variables arising from the extended type I generalized logistic distribution.

objective midazolam is a significant and effective drug for control of a life-threatening condition, generalized and partial refractory convulsive status epilepticus. the goal of this study was evaluation of midazolam efficacy for management of this serious disease and its two side effects, hypotension and respiratory failure. materials & methods our study was done using a quasi experimental me...

The paper studies some properties of the ring of integer-valued quasi-polynomials. On this ring, theory of generalized Euclidean division and generalized greatest common divisor are presented. Applications to finite simple continued fraction expansion of rational numbers and Smith normal form of integral matrices with an integer parameter are also given.

The notions of quasi-embedding, quasi-equality, and quasi-isomorphism are generalized their properties studied.

This paper study the type of integrability differential systems with separable variables $\dot{x}=h\left (x\right )f\left (y\right )$ , $\dot{y}= g\left where $h$ $f$ and $g$ are polynomials. We provide a criterion for existence generalized analytic first integrals such systems. Moreover we characterize polynomial all In particular case $h\left )=\left (ax+b\right )^{m}$ necessary sufficient co...

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.