Author

Alaa Melhem

Department of Mathematics Faculty of Science Jadara University, Irbid, Jordan

Published papers: 2
Citations: 0
Views: 239
Downloads: 10

Publications

2 papers

Open Access Research Article·pp. 1335–1346·Vol. 29, Issue 3Mar 2026

On 2-N-prime ideals over commutative ℤ2-graded ring

Alaa Melhem, Rashid Abu-Dawwas, Ali Albalasmeh

Published Online: 05 Mar 2026DOI: 10.47974/JDMSC-2579

In this paper: Let R be a commutative ring with a nonzero unity element. In this article, we introduce and examine new classes of ideals in ℤ2-graded rings, expanding upon the earlier concept of N-prime ideals. Usin...

Abstract References Full Text PDF (331 KB)Views: 103Downloads: 5Citations: 0

Open Access Research Article·pp. 267–279·Vol. 28, Issue 1Feb 2025

Graded S-r-ideals

Alaa Melhem, Rashid Abu- Dawwas, Rahaf Ghozlan

Published Online: 28 Feb 2025DOI: 10.47974/JDMSC-2200

In this paper: Let G be a group, R be a commutative G-graded ring with nonzero unity, S be a multiplicative subset of homogeneous elements of R and P be a graded ideal of R with P ∩ S = ϕ. In this article, we introd...

Abstract References Full Text PDF (303 KB)Views: 136Downloads: 5Citations: 0