Fahmy, M., Hassanein, A., Abdelwahab, S. (2017). NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS. Bulletin of Faculty of Science, Zagazig University, 2017(1), 349-353. doi: 10.21608/bfszu.2017.31059
M. H. Fahmy; A. M. Hassanein; S. M. Abdelwahab. "NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS". Bulletin of Faculty of Science, Zagazig University, 2017, 1, 2017, 349-353. doi: 10.21608/bfszu.2017.31059
Fahmy, M., Hassanein, A., Abdelwahab, S. (2017). 'NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS', Bulletin of Faculty of Science, Zagazig University, 2017(1), pp. 349-353. doi: 10.21608/bfszu.2017.31059
Fahmy, M., Hassanein, A., Abdelwahab, S. NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS. Bulletin of Faculty of Science, Zagazig University, 2017; 2017(1): 349-353. doi: 10.21608/bfszu.2017.31059
NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS
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.