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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…
Tariel Kemoklidze
The paper considers the lattice of fully invariant subgroups of the cotorsion hull when a separable primary group T is an arbitrary direct sum of torsion-complete groups.The investigation of this problem in the case of a cotorsion hull is important because en…
Bo Li, Hailan Jin
In this paper, Let R is a ring, G be a finite group of ring automorphisms of R . R * G denote the skew group ring of R under G . We investigate the right p.q.-Baer property of skew group rings under finite group action, Assume that R is a semiprime ring with…
Mohammed El Azhari
We give a functional representation theorem for a class of real p-Banach algebras. This theorem is used to show that every p-homogeneous seminorm with square property on a real associative algebra is submultiplicative
Mangatiana A. Robdera, Dintle Kagiso
The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that is, for all measurable sets. Such a property is not shared by vector…
Joshua M. Fitzhugh, David L. Farnsworth
The normal direction to the normal direction to a line in Minkowski geometries generally does not give the original line. We show that in l p geometries with p >1 repeatedly finding the normal line through the origin gives sequences of lines that monotonicall…
Ruting Guo
Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by high powers of a given integer and showed that for integer a ≥2 and real number A ＞0 . There is a B = B ( A ) ＞0 such that , holds uniformly for mo…
Songlin Chen, Weigen Hou, Xiaohui Jiang
A singularly perturbed advection-diffusion two-point Robin boundary value problem whose solution has a single boundary layer is considered. Based on the piecewise linear polynomial approximation, the finite element method is applied to the problem. Estimation…
Stephen M. Gathigi, Moses N. Gichuki, Paul A. Otieno, Hezron S. Were
The study of fuzzy sets i s specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where variou…
Jeffrey Zheng, Weiqiong Zhang, Jin Luo, Wei Zhou, Ruoyu Shen
Stream cipher, DNA cryptography and DNA analysis are the most important R&D fields in both Cryptography and Bioinformatics. HC-256 is an emerged scheme as the new generation of stream ciphers for advanced network security. From a random sequencing viewpoint,…
Yuji Shimizuike
The notion of preordering, which is a generalization of the notion of ordering, has been introduced by Serre. On the other hand, the notion of round quadratic forms has been introduced by Witt. Based on these ideas, it is here shown that 1) a field F is forma…
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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.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
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