JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 745 - 755
(October 2018) http://dx.doi.org/10.17654/NT040050745 |
|
SOME SMALL-SQUARING PROPERTIES FOR NEAR-RINGS
Howard E. Bell
|
Abstract: Motivated by a group-theoretic result of G. A. Freiman, we define a near-ring N to be a Freiman near-ring if for each 2-subset A of N, the cardinality of A2 is at most 3. We study additive and multiplicative commutativity for various classes of Freiman near-rings. |
Keywords and phrases: small-squaring properties, Freiman near-rings.
|
|
Number of Downloads: 428 | Number of Views: 5419 |
|