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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…
Manuel Arenas
In this article , we prove that if B is a simple binary-Lie superalgebra whose even part is isomorphic to sl 2 (F) and whose odd part is a completely reducible binary-Lie-module over the even part, then B is a Lie superalgebra. We introduce also a binary-Lie…
Daniel C. Mayer
Given a fixed prime number p , the multiplet of abelian type invariants of the p -class groups of all unramified cyclic degree p extensions of a number field K is called its IPAD (index- p abeliani - zation data). These invariants have proved to be a valuable…
Lang Li, Shaomei Fang
In this paper, we consider the initial boudary value problem for modified Zakharov system in 3 dimensions with small initial condition. By using the continuity lemma and the linear interpolation theory, together with the properties of Sobolev spaces and the G…
Werner Hürlimann
Bell’s theorem determines the number of representations of a positive integer in terms of the ternary quadratic forms x 2 +by 2 +cz 2 with b,c {1,2,4,8} . This number depends only on the number of representations of an integer as a sum of three squares. We pr…
Fei Xiong, Liquan Mei, Ying Li, Wu Zhang
This paper describes a characteristics-mix finite element method for the computation of incompressible Navi-er-Stokes equations with variable density. We have introduced a mixed scheme which combines a characteristics finite element scheme for treating the ma…
Donald William Chakeres, Richard Vento
The Harmonic Neutron Hypothesis, HNH, has demonstrated that many of the fundamental physical constants including particles and bosons are associated with specific quantum integers, n . These integers define partial harmonic fractional exponents, 1 ± (1/ n ),…
Shaoling Zhou, Lei Hou
In this paper, a least-squares finite element method for the upper-convected Maxell (UCM) fluid is proposed. We first linearize the constitutive and momentum equations and then apply a least-squares method to the linearized version of the viscoelastic UCM mod…
Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, Dennis Spellman
Around 1945, Alfred Tarski proposed several questions concerning the elementary theory of non-abelian free groups. These remained open for 60 years until they were proved by O. Kharlampovich and A. Myasnikov and independently by Z. Sela. The proofs, by both s…
Lamis J. M. Abulebda
Let R be a commutative ring with 1, and M is a (left) R-module. We introduce the concept of coprimarily packed submodules as a proper submodule N of an R-module M which is said to be Coprimarily Packed Submodule. If where N a is a primary submodule of M for e…
R. Veysseyre, D. Weigel, T. Phan, H. Veysseyre
In the paper N 0 II, we describe some isomorphism classes and we apply their properties to the study of five crystal families of space E 5 . The names of these families are the following ones (monoclinic di iso squares)-al, decadic-al, (monoclinic di iso hexa…
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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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