NORMALIZING EXTENSIONS OF RIGHT G-SEMILOCAL AND RIGHT N-SEMILOCAL RINGS

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Al-Azhar University, Naser City, 11884 Cairo, Egypt.

2 Department of Mathematics, Faculty of Science, Al-Azhar University, Naser City, 11884 Cairo, Egypt

3 Department 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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