Journal of the Indonesian Mathematical Society <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> IndoMS en-US Journal of the Indonesian Mathematical Society 2086-8952 k-Product Cordial Behaviour of Union of Graphs 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 K. Jeya Daisey R. Santrin Sabibha P. Jeyanthi Maged Z. Youssef Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-13 2022-03-13 1 7 10.22342/jims.28.1.1025.1-7 Hollow Cylinder with Thermoelastic Modelling by Reduced Differential Transform <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> Sangita Baburao Pimpare Chandrashekhar S. Sutar Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-13 2022-03-13 8 18 10.22342/jims.28.1.1036.8-18 Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces <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> Akbar Pourgholam Masoud Sabbaghan Fatemeh Taleghani Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-20 2022-03-20 19 30 10.22342/jims.28.1.1106.19-30 Belligerent GE-filters in GE-Algebras <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> Ravikumar Bandaru Arsham Borumand Saeid Young Bae Jun Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-21 2022-03-21 31 43 10.22342/jims.28.1.1056.31-43 Some Identities Involving Multiplicative (Generalized)(α; 1)-Derivations in Semiprime Rings <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> G. Malleswari S. Sreenivasulu G. Shobhalatha Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-25 2022-03-25 44 51 10.22342/jims.28.1.992.44-51 Existence and Uniqueness Results of Positive Solution of a Class of Singular Duffing Oscillators <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> Nadir Benkaci-Ali Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-25 2022-03-25 52 68 10.22342/jims.28.1.1011.52-68 Super Edge Connectivity Number of an Arithmetic Graph <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> S. Sujitha Mary Jenitha Lazer Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-28 2022-03-28 69 74 10.22342/jims.28.1.1032.69-74 Hemi-Slant Submanifold of (LCS)n-Manifold <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> Payel Karmakar Arindam Bhattacharyya Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-30 2022-03-30 75 83 10.22342/jims.28.1.991.75-83 Prolongations of Golden Structure to Bundles of Infinitely Near Points <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> Georges Florian Wankap Nono Achille Ntyam Emmanuel Hinamari Mang-Massou Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-31 2022-03-31 84 95 10.22342/jims.28.1.1058.84-95 Supercharacters and Superclasses of Certain Abelian Groups <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> Hadiseh Saydi Mohammad Reza Darefsheh Ali Iranmanesh Copyright (c) 2022 Journal of the Indonesian Mathematical Society 2022-03-31 2022-03-31 97 106 10.22342/jims.28.1.1089.97-106