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Nikken Prima Puspita
Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro, Indonesia
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SOME PROPERTIES OF CLEAR RINGS Yassin Dwi Cahyo; C. NOVITA PERMATASARI; NANDA SUBASTIAN; SALMAN FARIZI; NIKKEN PRIMA PUSPITA; 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, +, ยท) 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.
Co-Authors 'Aliyah, Dheva Ufiz Adillah, Aisyah Nur Agung, Nadiva Putri Ahmadil Hamdi Alfiana, Shinta Nur Alhusna, Lathifatul Inayah Aris Puji Widodo Azarine, Dinda Bambang Irawanto Berlian Arswendo Adietya Budi Surodjo Budi Surodjo C. NOVITA PERMATASARI Cahyo, Yassin Dwi Damayanti, Athalia Dwi Lestari Eminugroho Ratna Sari Feriyanto, Erikha Fitriana Hasnani Fitriana Hasnani Fitriani Fitriani Hanifah, Zaqi Afif Harjito - Hasnani, Fitriana Hermawati, Dinda Widya I Gede Adhitya Wisnu Wardhana Ikhtiyar, Zakaria Bani Indah E Wijayanti Indah Emilia Wijayanti Indah Emilia Wijayanti Intan Nadilah Juwanda, Farikhin Lucia Ratnasari Maulani Rizqi Meryta Febrilian Fatimah Meryta Febrilian Fatimah, Meryta Febrilian Mudrikah Mudrikah Mudrikah, Mudrikah Mufliha, Azza NANDA SUBASTIAN Nuralesa, Suffi Nurdin Bahtiar Nurhasmadiar Nandini Nurhayati, Neri Nurul Fadhilah Paramita, Arum Qurrotulaini Pradjna Pradipta, Benediktus Panji Rahma, Suhaila Faiza Rakha, Andrea Putra Razis Aji Saputro Redemtus Heru Tjahjana Risti Sokawati Salman Farizi Saputro, Razis Aji Sartika Silalahi, Jennifer Evelyn Shabah, Shava Shavia Siti Khabibah Siti Khabibah Sokawati, Risti Suryoto ., Suryoto Suryoto Suryoto Thomas, Abdiel Bellamy Titi Udjiani SRRM Utami, Ratna Zakiyya Meilia widowati widowati Yassin Dwi Cahyo Yeni Susanti