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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…
Yonghong Liu
This paper presents the BCL + -algebras, which is derived the fundamental properties. Results are generalized with version of BCL-algebras [5], using some unusual for a binary relation * and a constant 1 (one) in a non-empty set X , one may take different axi…
David McKay
This article offers a simple but rigorous proof that the curl defined as a limit of circulation density is a vector-valued function with the standard Cartesian expression.
Nassim Athmouni, Mondher Damak
We use C*-algebras to determine non-propagation estimates for a certain class of generalized Schr?dinger operators acting on L 2 ( x ) , where X is a locally compact group. In particular, the Schr?dinger operators on trees are included.
José Giménez, Lorena López, N. Merentes, J. L. Sánchez
In this paper, we discuss various aspects of the problem of space-invariance, under compositions, of certain subclasses of the space of all continuously differentiable functions on an interval [a,b] We present a result about integrability of products of the f…
Mireya Bracamonte, José Giménez, N. Merentes, J. L. Sánchez
In this article we present a Riesz-type generalization of the concept of second variation of normed space valued functions defined on an interval [a,b]R. We show that a function f [a,b] , where X is a reflexive Banach space, is of bounded second Φ-variation,…
Mohamed Rachid Hilal, Hassan Lamane, My Ismail Mamouni
The different methods used to classify rational homotopy types of manifolds are in general fascinating and various (see [1,7,8]). In this paper we are interested to a particular case, that of simply connected elliptic spaces, denoted X, by discussing its coho…
Zhudeng Wang, Xuejun Liu
In this paper, we introduce the notion of L-topological spaces based on a complete bounded integral residuated lattice and discuss some properties of interior and left (right) closure operators.
R. H. Sallam
Faith-Menal counter example is an example (unique) of a right John’s ring which is not right artinian In this paper we show that the ring T which considered as an example of a right Johns ring in the (Faith-Menal) Counter Example is also artinian. The conclus…
Jyotindra C. Prajapati, Ajay Kumar Shukla
The principal aim of the paper is devoted to the study of some special properties of the E α,β γ,q (Z) function for α =1/n . Authors defined the decomposition of the function E α,β γ,q (Z) in the form of truncated power series as Equations (1.7), (1.8) and th…
Mohamed Abd El-Rahman Ahmed
We note that Theorem 2.3 [1] is a consequence of the same theorem for one map.
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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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