학술논문
Study of Additively Regular Г -Semirings and Derivations
Document Type
article
Author
Source
Discussiones Mathematicae - General Algebra and Applications, Vol 42, Iss 1, Pp 201-215 (2022)
Subject
Language
English
ISSN
2084-0373
Abstract
In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the relationship between commutators, derivations and inner derivations. In 1957, E.C. Posner has shown that if there exists a non-zero centralizing derivation in a prime ring R, then R is commutative. This result is extended in the frame work of derivations of prime additively regular Г -semirings.