Open AccessAlgebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space
Author(s) -
Puguh Wahyu Prasetyo,
Dian Ariesta Yuwaningsih,
Burhanudin Arif Nurnugroho
Publication year - 2020
Publication title -
al-jabar
Language(s) - English
Resource type - Journals
eISSN - 2540-7562
pISSN - 2086-5872
DOI - 10.24042/ajpm.v11i2.6897
Subject(s) - class (philosophy) , mathematics , prime (order theory) , space (punctuation) , ring (chemistry) , pure mathematics , topology (electrical circuits) , tychonoff space , matrix ring , matrix (chemical analysis) , topological space , discrete mathematics , combinatorics , computer science , chemistry , materials science , organic chemistry , composite material , artificial intelligence , invertible matrix , operating system
A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class for some positive integer In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical. Let be a Tychonoff space that does not contain any isolated point. The set of all continuous real-valued functions defined on is a prime essential ring. Finally, we can show that the class of rings is a supernilpotent radical class containing the matrix ring .