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All Journal Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Integra: Journal of Integrated Mathematics and Computer Science
'Aliyah, Dheva Ufiz
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Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Education Health Professions Mathematics

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The Cleanness Property of The Integers Modulo n (ℤn) 'Aliyah, Dheva Ufiz; Puspita, Nikken Prima; Tjahjana, Redemtus Heru
Integra: Journal of Integrated Mathematics and Computer Science Vol. 1 No. 2 (2024): July
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20241214

Abstract

Assume that R is a ring with identity. A ring R is said to be clean when each of its elements can be written as the sum of an idempotent and a unit element within the ring. A stronger condition, known as strongly clean, requires that these elements commute under multiplication. As a special case, a module M over ring R is called a clean module when the endomorphism ring of the M is a clean module over R. Moreover, when the ring endomorphism of R-module M is a strongly clean, then the module M is referred to as a strongly clean. We know that the integers modulo n, denoted by ℤn, is a ring by the set of congruence classes modulo n, with standard addition and multiplication operations. In this study, we explore the cleanness properties of the ring ℤn and establish that it is a strongly clean ring. Furthermore, we study about the cleanness of ℤn as a module over ℤ and investigate the strongly cleanness of it module.
Pembelajaran Koordinat Kartesius dengan Menggunakan Pixel Art untuk Siswa Sekolah Dasar 'Aliyah, Dheva Ufiz; Alfiana, Shinta Nur; Alhusna, Lathifatul Inayah; Paramita, Arum Qurrotulaini Pradjna; Utami, Ratna Zakiyya Meilia; Puspita, Nikken Prima; Ratnasari, Lucia
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 6 No. 1 (2025)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v6i1.216

Abstract

Pembelajaran koordinat kartesius merupakan salah satu materi dasar dalam matematika yang diajarkan di sekolah dasar. Pembelajaran koordinat kartesius dapat dilakukan dengan banyak cara. Pengabdian yang kami lakukan, memberikan alternatif pembelajaran mengenai koordinat kartesius. Alternatif pembelajaran tersebut menggabungkan pembelajaran koordinat kartesius dengan pixel art. Kegiatan pengabdian masyarakat ini menyasar pada siswa-siswi Kelas 5 SD Muhammadiyah 16 Karangasem, Kota Surakarta. Tujuan dari kegiatan ini yaitu untuk meningkatkan pemahaman dan motivasi siswa dalam pembelajaran koordinat kartesius melalui pendekatan kreatif dengan Pixel Art dan Mystery Cartesian Coordinate Games. Selain itu, siswa juga dapat mengetahui penerapan matematika melalui pixel art. Hasil kegiatan menunjukkan peningkatan minat belajar, kerja sama, dan pemahaman konsep koordinat kartesius, serta menjadikan pembelajaran matematika lebih interaktif dan menyenangkan.
Co-Authors Alfiana, Shinta Nur Alhusna, Lathifatul Inayah Lucia Ratnasari Nikken Prima Puspita Paramita, Arum Qurrotulaini Pradjna Redemtus Heru Tjahjana Utami, Ratna Zakiyya Meilia