ArticlesArchiveAboutEditorial BoardAuthor Guidelines
Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
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…
Yodit Seifu, Revathi Ananthakrishnan, Margaret Gamalo, John Kolassa
For a given therapy, patients, health technology assessment agencies and regulatory agencies are interested in evaluating whether the benefit outweighs the associated risks. Existing work [1] uses prioritized composite outcomes to assess benefit and risk; thi…
Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin
Traditionally, primes have been viewed as weeds appearing irregularly among the natural numbers, making their locations difficult to predict. We believe composite numbers, the complement of primes, exhibit symmetric patterns in their distribution. This study…
Antonio Granata
As a completion of the previously published theory of higher-order types of asymptotic variation, we point out some remarks about different approaches to construct such an advanced and demanding theory, because there are various (non-equivalent) approaches to…
Levente Csóka
This paper presents an exploratory analytic framework for examining the distribution of prime numbers through complex exponential embeddings and their associated Residue Recurrence Classes (RRCs). Each prime p is mapped to a unit-magnitude complex oscillator…
Yury M. Volin
A system of finitary arithmetic is introduced, and a proof for its consistency is proposed. It is shown that the proof of the consistency of finitary arithmetic, formalized in Peano arithmetic, implies the consistency of Peano arithmetic. Due to the results o…
Lukian Peter Wernyj, John Edward Kolassa
When comparing means of more than two groups, powers of two ranking methods for pairwise nonparametric simultaneous inference are compared, for various alternative hypotheses.
Isaac Owusu-Mensah
This paper explores the algebraic structures of the magma monoid ( ℳ ( S ) , ⊲ ) , where ℳ ( S ) comprises all binary operations on S . We investigate the order and generator set of elements characterizing idempotents, almost constant operations, and units, w…
Tadashi Taniguchi
Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We see that N and Z have a natural total order structure. They are also co…
Jingjing Ma
The paper presents some results on partially ordered rings. In section 2, it is shown that Archimedean directed maximal partial orders on integral domains must be total orders. Section 3 presents a direct proof that fields not algebraic over ℚ admit directed…
Djagwa Dehainsala, Joachim Moussounda Mouanda
We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix elliptic curves and matrix hyperelliptic curves by using matrix strong Dioph…
No articles in this issue.
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.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
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.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
Declare all funding sources, conflicts of interest, and ethical approvals (including informed consent and animal-care statements where applicable).