NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS | ||
Bulletin of Faculty of Science, Zagazig University | ||
Article 21, Volume 2017, Issue 1, 2017, Pages 349-353 PDF (162.39 K) | ||
Document Type: Original Article | ||
DOI: 10.21608/bfszu.2017.31059 | ||
Authors | ||
M. H. Fahmy1; A. M. Hassanein2; S. M. Abdelwahab3 | ||
1Department of Mathematics, Faculty of Science, Al-Azhar University, Naser City, 11884 Cairo, Egypt. | ||
2Department of Mathematics, Faculty of Science, Al-Azhar University, Naser City, 11884 Cairo, Egypt | ||
3Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, 11790 Helwan, Egypt. | ||
Abstract | ||
The aim of this paper is to focus on two new classes of rings called right G-semilocal and right N-semilocal. These classes are a generalization of the class of semilocal rings. We also study the transfer of right G-semilocality and right N-semilocality from a ring R to its normalizing extension S and vice versa. | ||
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