Journal of the Indonesian Mathematical Society http://jims-a.org/index.php/jimsa <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="https://search.crossref.org/?q=2086-8952">10.22342</a> by<img src="https://jims-a.org/public/site/images/admin/crossref-logo-stacked-rgb-small-a41f52ed695a710d6a57355cc9ee7d7c.png" alt="" width="52" height="14" /></div> <div><strong>ISSN</strong> : <a href="http://u.lipi.go.id/1274193789">2086-8952</a> (p) | <a href="http://u.lipi.go.id/1432110804">2460-0245</a> (e)</div> <div><strong>Editor-in-chief</strong> : <a href="https://www.scopus.com/authid/detail.uri?authorId=16053675900">Indah Emilia Wijayanti</a></div> <div><strong>Executive Editor</strong> : <a href="https://www.scopus.com/authid/detail.uri?authorId=24480624100">Fajar Adi Kusumo</a></div> <div><strong>Managing Editor</strong> : <a href="https://www.scopus.com/authid/detail.uri?authorId=57050754900">Hazrul Iswadi</a></div> <div><strong>Publishing Model </strong>: Open Access, <a href="http://jims-a.org/index.php/jimsa/apc">Author(s) Pay</a></div> <div><strong>Publisher</strong> : <a href="https://indoms.id/en/home/">The Indonesian Mathematical Society</a></div> <div><strong>Citation Analysis</strong> : <a href="http://sinta2.ristekdikti.go.id/journals/detail?id=3739">SINTA</a> | <a href="https://suggestor.step.scopus.com/progressTracker/?trackingID=224BA6482DB848A3">Scopus</a> | <a href="https://scholar.google.co.id/citations?hl=id&amp;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 Solution of Laplace’s Equation in A Singular Domain Using Mellin Transform http://jims-a.org/index.php/jimsa/article/view/1052 <p>This paper deals with the theory of V. Kondratiev which allows to study the regularity of elliptical problems in corner domains. After having introduced the Mellin transform and the Sobolev spaces to weight, we recall the links with Sobolev spaces. The Mellin transform represent an important key to study the H^s regularity in corner domains.</p> Sami Altoum Ahmed Hussein Msmali Mahjoub A. Elamin Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-27 2022-07-27 107 121 10.22342/jims.28.2.1052.107-121 Numerical Simulation of Flood Routing, Model of Dynamic Equations http://jims-a.org/index.php/jimsa/article/view/1111 Dynamic equations of flow in a rectangular inclined channel are solved numerically for the case where the friction force of the channel wall is neglected by the gravity force. The flow discharge and the cross-section area along the channel are physical quantity that is calculated. In non-dimensional variables, the equations indicate solution in traveling wave occurring for critical flow. Near that type of flow, the perturbation method is applied to get second order equations that are first order partial differential equation with external force from the lower order equations. Numerical solution is obtained by predictor-corrector method, and the effect of these second order equations can be observed to the traveling wave, depending on the type of the flow, su-percritical or subcritical. Leo Hari Wiryanto Ratna Widyawati Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-30 2022-07-30 122 132 10.22342/jims.28.2.1111.122-132 Properties of Uniform Fuzzy Modules and Semiuniform Fuzzy Modules http://jims-a.org/index.php/jimsa/article/view/1127 In this research paper, the concepts of uniform fuzzy modules and semiuniform fuzzy modules were studied. We discussed the necessary and sufficient conditions between uniform fuzzy modules (and semiuniform fuzzy modules) in fuzzy set theory and uniform modules (and semiuniform modules) in module theory. samruam baupradist Burhan Chemat Ronnason Chinram Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-30 2022-07-30 133 146 10.22342/jims.28.2.1127.133-146 n-Boundedness and n-Continuity of Linear Operators http://jims-a.org/index.php/jimsa/article/view/1197 <p>The concept of n-bounded and n-continuous operators is discussed as an extension of the concept introduced in [12]. The equivalence of three statements on n-continuity and n-boundedness of a linear operator from a normed space into an n-normed space is also proved. This newly introduced concept is proved to be identical to one type of n-continuity introduced in [12].</p> Romen Meitei Soibam Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-30 2022-07-30 147 157 10.22342/jims.28.2.1197.147-157 Equivalence of Lebesgue's Theorem and Baire Characterization Theorem http://jims-a.org/index.php/jimsa/article/view/1064 <p>Let $X$ be a complete separable metric space and $Y$ be a separable Banach space. We provide a proof of equivalence by linking explicitly the following statements:\\<br /> \noindent \textbf{\textit{Lebesgue's Theorem.}} For every $\epsilon&gt;0$ there exists a countable collection of closed sets $\left\lbrace C_n\right\rbrace $ of $X$ such that $$X=\bigcup_{n=1}^{\infty}C_n\;\;\text{and}\;\; \omega_f\left( C_n\right)&lt;\epsilon\;\; \text{for each} \;\; n.$$<br /> \textbf{\textit{Baire Characterization Theorem.}} For every nonempty perfect set $K\subset X$, the function $f|_K$ has at least one point of continuity in $K$. In fact, $C(f|_K)$ is dense in $K$.\\<br /> \indent Moreover, replacing ``closed'' by ``open'' in the Lebesgue's Theorem, we obtain a characterization of continuous functions on space $X$.</p> Jonald Fenecios Abraham Racca Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-30 2022-07-30 158 163 10.22342/jims.28.2.1064.158-163 Vector-Valued Inequality of Fractional Integral Operator with Rough Kernel on Morrey-Adams Spaces http://jims-a.org/index.php/jimsa/article/view/1057 In 2019, Salim et al proved the vector-valued inequality for maximal operator with rough kernel on Lebesgue spaces and Morrey spaces. This results extend Fefferman-Stein inequality (1971). In 1970’s, Adams introduced another variant of Morrey spaces, which called as Morrey-Adams spaces. In this article, we prove vector-valued inequality for maximal operator and fractional integral operator with rough kernel on Morrey–Adams spaces. Daniel Salim Yudi Soeharyadi Wono Setya Budhi Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-30 2022-07-30 164 172 10.22342/jims.28.2.1057.164-172 Effect of COVID-19 Patients Flow Rate from ER to LPD on COVID-19 Patients Healing Rates at RSUP DR. Sardjito’s ER http://jims-a.org/index.php/jimsa/article/view/1041 COVID-19 or Coronavirus Disease-19 which first appeared in December 2019 has spread around the world, one of which is Indonesia. The spread of the COVID-19 has affected all areas of human life and the most affected area is health. It can be known from the number of COVID-19 patients in numerous national referral hospitals, one of which is RSUP Dr. Sardjito. This large number of COVID-19 patients often causes a high number of bed occupancy rates and has an impact on special rooms, the room for COVID-19 patients who come to the hospital for the first time or the Emergency Room (ER) and the room for COVID-19 patients from the ER who was declared seriously ill or inpatient. Furthermore, imbalance between the number of ER and Long-stay Patient Department (LPD) and the number of COVID-19 patients result in a decrease in the flow rate of COVID-19 patients from the ER to the long stay patient department. To find out the impact of that flow rate, this research was conducted using Richard's Curve and Kaplan-Meier Estimator. The results of this research show effect of flow rate which can be observed from the probability of COVID-19 patients who recovered or died in each special room. The probability of a COVID-19 patient in the ER recovered is greater than the probability of a patient died. Meanwhile, the probability of a COVID-19 patient in the long stay patient department recovered is smaller than the probability of a patient died. Muchammad Choerul Arifin Naelufa Syifna Wifaqotul Muna Arizka Yuliana Lingga Sanjaya Putra Mahardhika Albert Hosea Santoso Dwi Ertiningsih Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-31 2022-07-31 173 184 10.22342/jims.28.2.1041.173-184 Some Properties of Von Neumann Regular Graphs of Rings http://jims-a.org/index.php/jimsa/article/view/1112 <p>Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic, chordal and perfect. We also investigate the domination parameters of GV nr+(R) such as dominating set, domination number, total domination number, connected domination number and give the condition when the GV nr+(R) is an excellent graph. Finally we determine the bondage number.</p> Diamond Kharkongor Laithun Boro Madan Mohan Singh Sanghita Dutta Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-31 2022-07-31 185 193 10.22342/jims.28.2.1112.185-193 Calculating PI Related Indices and Its Polynomial of Hyaluronic Acid and Conjugates http://jims-a.org/index.php/jimsa/article/view/1204 <p>A large number of medical experiments have confirmed that the features of drugs have a close correlation with their molecular structure. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a chemical graph enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we focus on Hyaluronic Acid-Curcumin/Paclitaxel conjugate which are widely used in the manufacture of anticancer drugs. Therefore in this paper we have computed the Padmakar-Ivan related indices and its polynomial of the Hyaluronic Acid-curcumin/paclitaxel conjugate by using edge partitioning technique.</p> P.KANDAN S. SUBRAMANIAN P. RAJESH Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-31 2022-07-31 194 214 10.22342/jims.28.2.1204.194-214 The Necessary and Sufficient Condition of Clean R-Coalgebra e⇀C↼e http://jims-a.org/index.php/jimsa/article/view/1066 <p>Let R be a commutative ring with multiplicative identity and C be a coassociative and counital R-coalgebra with the α-condition. A clean comodules defined based on the cleanness on rings and modules. A C-comodule M is a clean comodule if the endomorphism ring of C-comodule M is clean. A clean R-coalgebra C is a clean comodule over itself i.e., if the endomorphism ring of C as a C-comodule is clean. For an idempotent e ∈ R, there are relations between the cleanness of eRe and R. It’s motivated us to investigate this condition for coalgebra. For any C, we can construct the R-coalgebra e ⇀C↼e where e is an idempotent element of dual algebra of C. Here, we show that the clean conditions of C implies the clean property of e ⇀C↼ e and vice versa.</p> Nikken Prima Puspita Indah E Wijayanti Budi Surodjo Copyright (c) 2022 Journal of the Indonesian Mathematical Society https://creativecommons.org/licenses/by-nc-nd/4.0 2022-07-31 2022-07-31 215 220 10.22342/jims.28.2.1066.215-220