On a truss-module

Prasetyo, Puguh Wahyu and Arifin, Samsul and Suwarno, Suwarno (2023) On a truss-module. AIP Conference Proceedings, 2733 (1). 030001-1-030001-7. ISSN ISBN: 978-0-7354-1370-2

[thumbnail of 030001_1_5.0140151.pdf] Text
030001_1_5.0140151.pdf

Download (3MB)

Abstract

A ring is one of the most essential structures in abstract algebra. There exist rings in the evolution of abstract algebra that contain "abnormal" members, particularly nilpotent elements. The existence of radicals of rings was inspired by this. Radical Jacobson is one of the most popular radical rings. Rump presented braces in 2007, and interestingly, the Jacobson radical ℐ (A) of every ring, A, is a two-sided brace. Furthermore, in 2017, Brzeziski developed trusses, a novel construction that sits between the brace and the rings. In this research, we implement a qualitative literature study method to observe some fundamental properties of braces and trusses. Finally, as the result of this paper, we give some examples of trusses and show that every truss is a truss-module.

Item Type: Artikel Umum
Subjects: Q Science > QA Mathematics
Depositing User: puguh prasetyo
Date Deposited: 11 Aug 2023 04:38
Last Modified: 11 Aug 2023 04:38
URI: http://eprints.uad.ac.id/id/eprint/44138

Actions (login required)

View Item View Item