# Journal of Prime Research in Mathematics

Journal of Prime Research in Mathematics (JPRM) ISSN: 1817-3462 (Online) 1818-5495 (Print) is an HEC recognized, Scopus indexed, open access journal which provides a plate forum to the international community all over the world to publish their work in mathematical sciences. JPRM is very much focused on timely processed publications keeping in view the high frequency of upcoming new ideas and make those new ideas readily available to our readers from all over the world for free of cost. Starting from 2020, we publish one Volume each year containing two issues in June and December. The accepted papers will be published online immediate in the running issue. All issues will be gathered in one volume which will be published in December of every year.

Latest Published Articles

### Contractible fibers of polynomial functions

JPRM-Vol. 1 (2008), Issue 1, pp. 148 – 153 Open Access Full-Text PDF
Zahid Raza
Abstract: In this short note, we investigate the topology of complex polynomials $$f(x, y)$$ in two variables. The description of the topology of the corresponding level curves $$C_t : f(x, y) = t$$ is directly related to the vanishing of the leading coefficients cj (t) of the discriminant of the polynomial $$f(x, y) − t$$, regarded as polynomials in $$t$$.

### $$G_p$$-Finiteness of tensor product

JPRM-Vol. 1 (2008), Issue 1, pp. 143 – 147 Open Access Full-Text PDF
M.S. Balasubramani, K. T. Ravindran
Abstract: In this paper we introduce $$G_P$$ finiteness of a Von-Neumann algebra and we define a G-dimension function. Then we prove a result on tensor product of fixed point algebra under group of automorphisms and finally verify a result under which the tensor product is $$G_P$$ finite.

### Common fixed point theorems for two mappings in $$D^∗$$-metric spaces

JPRM-Vol. 1 (2008), Issue 1, pp. 132 – 142 Open Access Full-Text PDF
Shaban Sedghi, Nabi Shobe, Shahram Sedghi

### On the gracefulness of the digraphs $$n − C_{m}$$ for $$m$$ odd

JPRM-Vol. 1 (2008), Issue 1, pp. 118 – 126 Open Access Full-Text PDF
Zhao Lingqi, Jirimutu, Xirong Xu, Wang Lei
Abstract: A digraph D(V, E) is said to be graceful if there exists an injection $$f : V (G) → {0, 1, · · · , |E|}$$ such that the induced function $$f’:E(G) → {1, 2, · · · , |E|}$$ which is defined by $$f'(u, v) = [f(v)−f(u)] (mod |E|+1)$$ for every directed edge $$(u, v)$$ is a bijection. Here, $$f$$ is called a graceful labeling (graceful numbering) of $$D(V, E)$$, while $$f’$$ is called the induced edge’s graceful labeling of D. In this paper we discuss the gracefulness of the digraph $$n − C_{m}$$ and prove that $$n − C_{m}$$ is a graceful digraph for $$m = 5, 7, 9, 11, 13$$ and even n.

### Matrix lie rings that contain an abelian subring

JPRM-Vol. 1 (2008), Issue 1, pp. 113 – 117 Open Access Full-Text PDF
Evgenii L. Bashkirov
Abstract: Let $$k$$ be a field and $$\overline{k}$$ an algebraic closure of $$k$$. The paper is devoted to the description of subrings of the Lie ring $$sl_{2}overline{k}$$ that contain an abelian subring which is a one-dimensional subspace of the $$k$$-vector space $$sl_{2}overline{k}$$.