Journal of the Indonesian Mathematical Society 2022-03-13T13:42:40+00:00 Editorial Open Journal Systems <div><strong>Journal title</strong> : Journal of The Indonesian Mathematical Society</div> <div><strong>Initials</strong> : JIMS</div> <div><strong>Abbreviation</strong> : J. Indones. Math. Soc.</div> <div><strong>Frequency</strong> : 3 issues per year (March, July, and November)</div> <div><strong>DOI prefix</strong> : <a href="">10.22342</a> by<img src="" alt="" width="52" height="14" /></div> <div><strong>ISSN</strong> : <a href="">2086-8952</a> (p) | <a href="">2460-0245</a> (e)</div> <div><strong>Editor-in-chief</strong> : <a href="">Indah Emilia Wijayanti</a></div> <div><strong>Executive Editor</strong> : <a href="">Fajar Adi Kusumo</a></div> <div><strong>Managing Editor</strong> : <a href="">Hazrul Iswadi</a></div> <div><strong>Publishing Model </strong>: Open Access, <a href="">Author(s) Pay</a></div> <div><strong>Publisher</strong> : <a href="">The Indonesian Mathematical Society</a></div> <div><strong>Citation Analysis</strong> : <a href="">SINTA</a> | <a href="">Scopus</a> | <a href=";btnA=1&amp;authorid=15123057491121882332&amp;authuser=2&amp;user=1xyTLLUAAAAJ">Google Scholar</a></div> k-Product Cordial Behaviour of Union of Graphs 2022-03-04T10:13:27+00:00 K. Jeya Daisey R. Santrin Sabibha P. Jeyanthi Maged Z. Youssef Let f be a map from V (G) to {0, 1, ..., k − 1} where k is an integer, 1 ≤ k ≤ |V (G)|. For each edge uv assign the label f(u)f(v)(mod k). f is called a k-product cordial labeling if |vf (i) − vf (j)| ≤ 1, and |ef (i) − ef (j)| ≤ 1, i, j ∈ {0, 1, ..., k − 1}, where vf (x) and ef (x) denote the number of vertices and edges respectively labeled with x (x = 0, 1, ..., k − 1). In this paper, we investigate the k-product cordial behaviour of union of graphs 2022-03-13T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Hollow Cylinder with Thermoelastic Modelling by Reduced Differential Transform 2022-02-01T08:42:40+00:00 Sangita Baburao Pimpare Chandrashekhar S. Sutar <p>The term thermal stresses are related to mechanics of materials. The thermal stress is formed due to any changes in temperature of a material. The large change in temperature concludes to higher the thermal stresses. Also, there is an effect of thermal expansion coefficient on thermal stresses. The thermal expansion coefficient is different for different materials. In the present paper, the design of a mathematical model concerning the thermal stresses in hollow cylinder subject to the heat conduction with initial and boundary conditions have developed. The basic aim of this work is related to calculations of thermal stresses and thermoelastic displacement in the hollow cylinder by using the reduced differential transform method. The analytical solution is satisfied with the aim of special cases for the copper material properties. The numerical results are illustrated graphically by using mathematical software SCILAB.</p> 2022-03-13T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces 2022-03-10T04:46:56+00:00 Akbar Pourgholam Masoud Sabbaghan Fatemeh Taleghani <p>In this paper, the notion of limit property (-Tayyab kamran, 2004-) and common limit property (-Yicheng Liu &amp; Jun Wu &amp; Zhixiang Li, 2005-) for singlevalued and multi-valued mappings on metric spaces are generalized to S-metric spaces. This idea is used to make some common fixed point theorems for singlevalued and multi-valued mappings by using a generalization of coincidence point in S-metric spaces. We give an example of an S-metric which is not continuous.</p> 2022-03-20T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Belligerent GE-filters in GE-Algebras 2022-03-04T10:18:33+00:00 Ravikumar Bandaru Arsham Borumand Saeid Young Bae Jun <p>The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.</p> 2022-03-21T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Some Identities Involving Multiplicative (Generalized)(α; 1)-Derivations in Semiprime Rings 2021-12-02T13:41:39+00:00 G. Malleswari S. Sreenivasulu G. Shobhalatha <p>Let R be a semiprime ring, I a non-zero ideal of R and α be an automorphism of R. A map F : R to R is said to be a multiplicative (generalized)(α, 1)-derivation associated with a map d : R to R such that F (xy) = F (x) α (y) + xd (y), for all x, y in R. In the present paper, we shall prove that R contains a non-zero central ideal if any one of the following holds: (i) F [x, y] ± [x,y] =0; (ii) F (xoy)±α(xoy) = 0; (iii) F [x, y] = [F (x) , y]α;1 ; (iv) F [x, y] =(F (x) oy)α;1 ; (v) F (xoy) = [F(x) , y]α;1 and (vi)F (xoy) = (F (x) oy)α;1, for all x, y in I.</p> 2022-03-25T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Existence and Uniqueness Results of Positive Solution of a Class of Singular Duffing Oscillators 2021-12-02T13:45:14+00:00 Nadir Benkaci-Ali <p>In this paper, we give existence and uniqueness results of nontrivial positive solution of the singular and non-autonomous kind of Duffing oscillator by using fixed point index theory.</p> 2022-03-25T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Super Edge Connectivity Number of an Arithmetic Graph 2022-02-16T20:43:00+00:00 S. Sujitha Mary Jenitha Lazer <p>An edge subset F of a connected graph G is a super edge cut if G − F is disconnected and every component of G−F has atleast two vertices. The minimum cardinality of super edge cut is called super edge connectivity number and it is denoted by λ'(G). Every arithmetic graph G = Vn, n not equal to p1 × p2 has super edge cut. In this paper, the authors study super edge connectivity number of an arithmetic graphs G = Vn, n = p_1^a_1 × p_2^a_2 , a1 &gt; 1, a2 ≥ 1, and G = Vn, n = p_1^a_1 × p_2^a_2 × · · · ×p_r^a_r , r &gt; 2, ai ≥ 1, 1 ≤ i ≤ r.</p> 2022-03-28T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Hemi-Slant Submanifold of (LCS)n-Manifold 2022-01-14T04:44:10+00:00 Payel Karmakar Arindam Bhattacharyya <p>In this paper we analyse briefly some properties of hemi-slant sub-manifold of (LCS)n-manifold. Here we discuss about some necessary and sufficient conditions for distributions to be integrable and obtain some results in this direction. We also study the geometry of leaves of hemi-slant submanifold of (LCS)n-manifold. At last we give an example of a hemi-slant submanifold of an (LCS)n-manifold.</p> 2022-03-30T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Prolongations of Golden Structure to Bundles of Infinitely Near Points 2022-02-26T07:11:49+00:00 Georges Florian Wankap Nono Achille Ntyam Emmanuel Hinamari Mang-Massou <p align="LEFT"><span style="font-family: CMMI6; font-size: xx-small;"><span style="font-family: CMMI6; font-size: xx-small;">For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A. </span></span></p> 2022-03-31T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society Supercharacters and Superclasses of Certain Abelian Groups 2022-02-16T21:10:29+00:00 Hadiseh Saydi Mohammad Reza Darefsheh Ali Iranmanesh <p>‎Supercharacter theory is developed by P‎. ‎Diaconis and I‎. ‎M‎. ‎Isaacs as a natural generalization of the classical ordinary character theory‎. ‎Some classical sums of number theory appear as supercharacters which are obtained by the action of certain subgroups of GL_d(Z_n) on Z_n^d‎. ‎In this paper we take Z_p^d‎, ‎p prime‎, ‎and by the action of certain subgroups of GL_d(Z_p) we find supercharacter table of Z_p^d‎.</p> 2022-03-31T00:00:00+00:00 Copyright (c) 2022 Journal of the Indonesian Mathematical Society