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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…
Nilakshi Goswami
Let V 1 and V 2 be two -Banach algebras and R i be the right operator Banach algebra and L i be the left operator Banach algebra of V i (i=1,2). We give a characterization of the Jacobson radical for the projective tensor product V 1 r V 2 in terms of the Jac…
Yong Liu
The solution of a nonlinear elliptic equation involving Pucci maximal operator and super linear nonlinearity is studied. Uniqueness results of positive radial solutions in the annulus with Dirichlet boundary condition are obtained. The main tool is Lane-Emden…
Parin Chaipunya, Yeol Je Cho, Wutiphol Sintunavarat, Poom Kumam
In this paper, we prove introduce some fixed point theorems for quasi-contraction under the cyclical conditions. Then, we point out that a common fixed point extension is also applicable via our earlier results equipped together with a weaker cyclical propert…
Ling Jin, Hailan Jin
A ring R is called right principally quasi-Baer (simply, right p.q.-Baer) if the right annihilator of every principal right ideal of R is generated by an idempotent. For a ring R , let G be a finite group of ring automorphisms of R . We denote the fixed ring…
Francesco G. Russo
The Sylow graph of a finite group originates from recent investigations on certain classes of groups, defined in terms of normalizers of Sylow subgroups. The connectivity of this graph has been proved only last year with the use of the classification of finit…
Francisco Bulnes
We consider a generalization of the Radon-Schmid transform on coherent D-modules of sheaves of holomorphic complex bundles inside a moduli space, with the purpose of establishing the equivalences among geometric objects (vector bundles) and algebraic objects…
Xiaobin Guo, Dequan Shang
In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp matrix equations. Then the fuzzy approximate solution…
I. Raykov
The main purpose of the present work is to introduce necessary conditions for a map on a non-metric space, defined by using a map on a metric space, to have a fixed point.
Abhay K. Gaur
We find that a bounded linear operator T on a complex Hilbert space H satisfies the norm relation |||T| n a|| =2q, for any vector a in H such that q≤（||Ta||-4 -1 ||Ta|| 2 )≤1.A partial converse to Theorem 1 by Haagerup and Harpe in [1] is suggested. We establ…
Zhongbo Fang, Anna Wang
In this paper, we are concerned with a positive solution of the non-homogeneous A-Laplacian equation in an open bounded connected domain. We use moving planes method to prove that the domain is a ball and the solution is radially symmetric.
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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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