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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Mohammad Arshaduzzaman
The present paper deals with a subgroup X of a group G is almost normal if the index | G : NG ( X )| is finite, while X is nearly normal if it has finite index in the normal closure XG . This paper investigates the structure of groups in which every (infinite…
Francisco Bulnes
Some derived categories and their deformed versions are used to develop a theory of the ramifications of field studied in the geometrical Langlands program to obtain the correspondences between moduli stacks and solution classes represented cohomologically un…
Hongbo Liu, Yi Li
Throughout this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of solutions of an equilibrium problem in th…
Thomas B. Gregory
For a transitive depth-one graded Lie algebra over a field of characteristic greater than two, a limit on the degree of the highest gradation space is determined.
Rafik Aramyan
A solution of Hilbert’s fourth problem leads to the integral equation which can be called the generalized cosine equation . In the present paper, we propose an inversion formula for the solution of the generalized cosine equation using integral and stochastic…
Guihua Tian
The spheroidal wave functions are investigated in the case $ m = 1$. The integral equation is obtained for them. There are two kinds of eigenvalues in the differential and corresponding integral equations, and the relation between them is given explicitly. Th…
Aldo V. Figallo, Elda Pick, Susana Saad
In this paper, we determine conditions for the existence of an epimorphism between two finite 4-valued modal algebras and state a method to obtain it. Furthermore, we obtain formulas which generalize those indicated by R. Sikorski for finite Boolean algebras…
Antonio Boccuto, Xenofon Dimitriou
We present some convergence and boundedness theorems with respect to filter convergence for lattice group-valued measures. We give a direct proof, based on the sliding hump argument. Furthermore we pose some open problems.
Feng Guo
Let f μ (z)=z·e p (z)+ μ with p (z) being real coefficient polynomial and it's leading coefficient be positive, μ ∈R + , when p (z) and μ satisfy two certain conditions, buried point set of f μ (z) contains unbounded positive real interval.
Xiaolian Liao, Shangzhao Li, Guohua Chen
The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group. Therefore, using the classification theorem of 3–homogeneous permutation groups, the classification of flag-transitive 6-(v, k,2) designs can be discussed. In…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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