Kaplansky introduced the concept of a Baer ring, a ring in which right annihilator of every non empty subset is a right ideal generated by an idempotent. A p.p. ring is a generalization of a Baer ring. A ring R is called a right p.p. ring if right annihilator of every element of R is a right ideal generated by an idempotent in R. A ring R is called a p.s. ring if right annihilator of any maximal ideal of R is a right ideal generated by an idempotent in R. In this book we present the results about extensions of p.s. property of a ring R to the polynomial ring R[x] and the power series ring R[[x]]. We also study extensions of Baer, p.q. Baer and p.p. modules to polynomial, power series, Laurent polynomial and Laurent power series modules.
Book Details: |
|
ISBN-13: |
978-620-6-78694-8 |
ISBN-10: |
6206786943 |
EAN: |
9786206786948 |
Book language: |
English |
By (author) : |
Anil Khairnar |
Number of pages: |
96 |
Published on: |
2023-09-26 |
Category: |
Mathematics |