A Characterization of Left Regularity
We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show that a zero-symmetric near-ring is regular wi...
Main Author: | Peter Fuchs |
---|---|
Format: | Article |
Language: | English |
Published: |
Emrah Evren KARA
2019-03-01
|
Series: | Universal Journal of Mathematics and Applications |
Subjects: | |
Online Access: | https://dergipark.org.tr/tr/download/article-file/675282 |
Similar Items
-
On n-Weakly Regular Rings
by: Raida Mahammod, et al.
Published: (2012-12-01) -
Trivial Extension of π-Regular Rings
by: Areej M. Abduldaim
Published: (2016-01-01) -
Near-rings : the theory and its applications /
by: 362040 Pilz, Gunter
Published: (1977) -
Regularity in Topological Modules
by: Francisco Javier Garcia-Pacheco
Published: (2020-09-01) -
Near-rings and near-fields /
by: Betsch, Gerhard
Published: (1987)