• γ NEAR-RINGS
Abstract
In this paper we introduce the concept of near-rings. In [8], S. Suryanarayanan and R. Balakrishnan investigated a near-ring N in which every N-subgroup is invariant. Motivated by this concept, we probe into the properties of a near-ring N where every N-subgroup is an ideal. We discuss the properties of this newly introduced structure, obtain a complete characterization and a structure theorem for such near-rings.
Keywords
Full Text:
pdfRefbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2024 Research Journal of Pure Algebra (RJPA) Copyright Agreement & Authorship Responsibility | Counter |