Manuscript Title:

COMMUTATIVITY OF QUOTIENT RING USING MULTIPLICATIVE GENERALIZED DERIVATION

Author:

TASLEEM LAL, ZAHEER AHMAD, MUHAMMAD HAMZA, UMBER RANA, MUNTAZIM ABBAS HASHMI, MUHAMMAD SHAHID MAHMOOD

DOI Number:

DOI:10.17605/OSF.IO/2HNVW

Published : 2022-05-10

About the author(s)

1. TASLEEM LAL - Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Pakistan.
2. ZAHEER AHMAD - Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Pakistan.
3. MUHAMMAD HAMZA - Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Pakistan.
4. UMBER RANA - Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Pakistan.
5. MUNTAZIM ABBAS HASHMI - Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Pakistan.
6. MUHAMMAD SHAHID MAHMOOD - Department of Computer Science, Islamia University, Pakistan.

Full Text : PDF

Abstract

The current article proves the commutativity of quotient rings R1/P1 here R1 is an arbitrary ring while P1 denotes the prime ideal of R1. The strong bonding is established among the behavior of multiplicative generalized derivation, the structure of a rings class, and the left multiplier through the support of some identities containing prime ideals. Moreover, the quotient ring R1/P1 characteristics have been determined in case of different situations.


Keywords

Generalized derivation, Prime Ideal, Commutativity.