On the Graded *- rings

Prasetyo, Puguh Wahyu and Wijayanti, Indah Emilia (2022) On the Graded *- rings. The Aligarh Bulletin of Mathematics, 41 (1). pp. 53-61. ISSN 0304-9787

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Abstract

A prime ring A is called a ∗−ring if β(A/I) = A/I for every nonzero
ideal proper I of A, where β is the prime radical. Gardner in 1988 asked whether the upper radical U(∗k) of the essential closure ∗k of the class of all ∗−rings coincide with the prime radical β. Until now, this problem remains open. In this paper, we construct a graded ∗−ring that motivates a further research to bring the Gardner problem into a graded version.

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 02:05
Last Modified:	18 Nov 2022 02:05
URI:	http://eprints.uad.ac.id/id/eprint/37550

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