References
Clay, J. R., andJ. J. Malone: The near rings with identities on certain finite groups. Math. Scand.19, 146–150 (1966).
Clay, J. R., andD. K. Doi: Near rings with identity on alternating groups. Math. Scand.23, 54–56 (1968).
Ligh, Steve: Near rings with descending chain condition. Compositio Mathematica21, 162–166 (1969).
Ligh, Steve: On division near rings. Canad. J. Math.21, 1366–1371 (1969).
Ligh, Steve, B. McQuarrie, andO. Slotterbeck: On near fields. (To appear).
Malone, J. J.: Near rings with trivial multiplications. Amer. Math. Monthly74, 1111–1112 (1967).
Maxson, C. J.: On finite near rings with identities. Amer. Math. Monthly74, 1228–1230 (1967).
Neumann, B. H.: On the commutativity of addition. J. London Math. Soc.15, 203–208 (1940).
Szele, T.: Zur Theorie der Zeroringe. Math. Ann.121, 242–246 (1949).
Zemmer, J. L.: The additive group of an infinite near field is abelian. J. London Math. Soc.44, 65–67 (1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ligh, S. Near rings with identities on certain groups. Monatshefte für Mathematik 75, 38–43 (1971). https://doi.org/10.1007/BF01305976
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01305976