Weakly Special Classes of Modules

Prasetyo, Puguh Wahyu and Wijayanti, Indah Emilia and France-Jackson, Halina and Repka, Joe (2020) Weakly Special Classes of Modules. Mathematics and Statistics, 8 (2A). pp. 23-27. ISSN 2332-2071

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Abstract

In the development of Theory Radical of Rings, there are two kinds of radical constructions. The first radical construction is the lower radical construction and the second one is the upper radical construction. In fact, the class π of all prime rings forms a special class and the upper radical class of forms a radical class which is called the prime radical. An upper radical class which is generated by a special class of rings is called a special radical class. On the other hand, we also have the class of all semiprime rings which is weakly special class of rings. Moreover, we can construct a special class of modules by using a given special class of rings. This condition motivates the existence of the question how to construct weakly special class modules by using a given weakly special class of rings. This research is a qualitative research. The results of this research are derived from fundamental axioms and properties of radical class of rings especially on special and weakly special radical classes. In this paper, we introduce the notion of a weakly special class of modules, a generalization of the notion on a special class of modules based on the definition of semiprime modules. Furthermore, some properties and examples of weakly special classes of modules are given. The main results of this work are the definition of a weakly special class of modules and their properties.

Item Type:	Artikel Umum
Subjects:	Q Science > QA Mathematics
Divisi / Prodi:	Faculty of Teacher Training and Education (Fakultas Keguruan dan Ilmu Pendidikan) > S1-Mathematics Education (S1-Pendidikan Matematika)
Depositing User:	puguh prasetyo
Date Deposited:	18 Nov 2022 01:52
Last Modified:	18 Nov 2022 01:52
URI:	http://eprints.uad.ac.id/id/eprint/37537

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