On the summands of near-rings with ATM |
| |
Authors: | Markku Niemenmaa |
| |
Affiliation: | (1) Department of Mathematics, University of Oulu, SF-90570 Oulu 57, Finland |
| |
Abstract: | We say that a near-ring (N,+,·) has an almost trivial multiplication (ATM) if the product of two elements belongs to the intersection of the additive cyclic groups generated by these two elements. We show that every finite near-ring with ATM can be decomposed to a direct sum where the summands are either near-rings defined on cyclic groups or near-rings whose minimal ideals are zero near-rings. Finally, we show how to construct these summands on cyclic groups. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|