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, Page 349-353 PDF (162.39 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/bfszu.2017.31059 | ||||
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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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