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LEONTIEF MATRIX: BUSINESS MODEL RECOMMENDATION FOR EXPORT COMMODITY OF NORTH SUMATERA Khasanah, Nur; Puspita, Nikken Prima; Hasnani, Fitriana; Fatimah, Meryta Febrilian; Ikhtiyar, Zakaria Bani
Jurnal Matematika UNAND Vol. 15 No. 1 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.1.95-107.2026

Abstract

The open model as the one the application of Leontief model using the explanation of the economy with input-output model. The open model shows the number of productions needed to satisfy an increase in internal and external demand. By using the operation linear algebra operation on ring characteristics, then the production numbers are calculated. This method is applied on the ten product-producing commodities of North Sumatera export demand to find the total production number, while the amount of demand is defined. It shows a solution to the minimization linear program is the solution that will satisfy both internal and external demands of the commodity with minimum inventory level.
Characterization and Cartesian Product of Smarandache Semigroups (S-semigroups) Fadhilah, Laila Karimatul; Suryoto; Nikken Prima Puspita; Titi Udjiani
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263149

Abstract

Let (S, *) be a semigroup. A semigroup S is called a Smarandache semigroup (or S-semigroup) if it contains a proper subset A ⊂ S such that (A, *) forms a group under the same binary operation defined on S. In general, not every semigroup admits a proper subset that is a group; hence, not all semigroups are S-semigroups. In this paper, several structural conditions related to Smarandache semigroups are investigated. In particular, we study the role of idempotent and completely regular elements in the structure of S-semigroups. These conditions provide a characterization of S-semigroups. Furthermore, this study investigates whether the Cartesian product of two or more S-semigroups is again an S-semigroup.
SOME PROPERTIES OF CLEAR RINGS Yassin Dwi Cahyo; PERMATASARI, C. NOVITA; SUBASTIAN, NANDA; FARIZI, SALMAN; PUSPITA, NIKKEN PRIMA; SURYOTO, SURYOTO
Jurnal Matematika UNAND Vol. 15 No. 2 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.2.196-212.2026

Abstract

Let (R, +, ·) be a ring with unity. An element in R is called a cleanelement if it is the sum of a unit element and an idempotent element. A ring R is calleda clean ring if all elements in R are clean elements. The notion of a clean element wasgeneralized to a clear element by replacing the idempotent element with a unit-regularelement. An element in R is called a clear element if it is the sum of a unit elementand a unit-regular element. A ring R is called a clear ring if all elements in R are clearelements. In this paper, we study the new properties of clear elements in a ring andclear properties in certain special rings, such as opposite rings, quotient rings, cornerrings, Morita rings, and group rings.