JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 3, Pages 351 - 358
(December 2003)
|
|
A STUDY ON BAER LIKE NEAR-RINGS
Yong Uk Cho (Korea)
|
Abstract: Hattori
[Nagoya Math. J. 17 (1960), 147-158] introduced
the left p.p.-rings and Kaplansky [Rings of operators,
Math. Lecture Notes Series, Benjamin, New York,
1968] introduced the Baer rings. In 1974,
Armendariz obtained the result ([Austral. Math.
Soc. 18 (1974),470-473], Theorem B): In a
reduced ring R, R is a Baer ring
if and only if the polynomial ring R[x]
is Baer.
The purpose of this paper is
to investigate the relations between near-rings with Baer condition and Baer rings,
also near-rings with P.P. condition and
p.p.-rings. They are somewhat different from the
ring case. |
Keywords and phrases: reduced,
Baer near-rings, p.p.-near-rings. |
|
Number of Downloads: 13 | Number of Views: 1125 |
|