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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…
Abdullahi Ahmad, Muhammad Nasir Sarki
The objective of this paper is to study unsteady magneto hydrodynamic (MHD) free flow of viscoelastic fluid (Walter’s B) past an infinite vertical plate through porous medium. The temperature is assumed to be oscillating with time. The solution obtained shows…
Fuzhang Zhao
Continuum mechanics for isotropic finite thermoelastic deformations have been reviewed. Thermal effects on mechanical responses of rubbers have been captured by the isomorphism continuum stored energy (CSE) functional with the multiplicative decomposition of…
Saviour Chibeti, Iness Kyapwanyama, Henry M. Phiri, Jeromy Kalunga
This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental. We pay much attention to algebraic extensions. Finally, we construct…
Lyndon O. Barton
This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile , when applied to a circle of arbitrary radius (using only an unmarked ruler and a compass), pr…
Saviour Chibeti, Iness Kyapwanyama
Matrix rings are prominent in abstract algebra. In this paper we give an overview of the theory of matrix near-rings. A near-ring differs from a ring in that it does not need to be abelian and one of the distributive laws does not hold in general. We introduc…
François Emmanuel Tanoé, Prosper Kouadio Kimou
We consider the Pythagoras equation X 2 + Y 2 = Z 2 , and for any solution of the type ( a , b = 2 s b 1 ≠0, c ) ∈ N *3 , s ≥ 2 , b 1 odd, ( a , b , c ) ≡ (±1,0,1)(mod 4) , c > a , c > b , and gcd ( a , b , c ) = 1, we then prove the Pythagorician divisors Th…
Kelone Tefoetsile, Jeromy Kalunga, Mathews Zimba, James Muchinga, Saviour Chibeti, Henry M. Phiri
The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Z p for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we focus on those studied by André [1]. These near-vector spaces ha…
Zuheir Khidir Ahmed Abdelgader, Nariman Khider Ahmed Abdalgadir, Entisar Bakhit Bashir Elshikh, Abualez Alamin Ahmed Ali
We study types of boundedness of a semigroup on a Banach space in terms of the Cesáro-average and the behavior of the resolvent at the origin and also exhibit a characterization of type Hille-Yosida for the generators of ϕ j -bounded strongly continuous…
Pal Doroszlai, Horacio Keller
The union of the straight and—of the over a point of reflection—reflected union of the series of the arithmetic progression of primes results the double density of occupation of integer positions by multiples of the primes. The remaining free positions repres…
François Emmanuel Tanoé
The goal of this paper is to show that there are infinitely many number fields K /Q, for which there is no inert prime p ∈ N* , i.e . ∀ p ∈ N* a prime number, prime ideal of K such that where: Z k is the Dedekind domain of the integer elements of K . To…
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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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