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Ligh, S.

Near rings with identities on certain groups. (English) Zbl 0212.05401

Monatsh. Math. 75, 38-43 (1971).
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Cited in 6 Documents

MSC:

16Y30 Near-rings
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Full Text: DOI EuDML

References:

[1] Clay, J. R., andJ. J. Malone: The near rings with identities on certain finite groups. Math. Scand.19, 146-150 (1966). · Zbl 0149.02701
[2] Clay, J. R., andD. K. Doi: Near rings with identity on alternating groups. Math. Scand.23, 54-56 (1968). · Zbl 0183.31102
[3] Ligh, Steve: Near rings with descending chain condition. Compositio Mathematica21, 162-166 (1969). · Zbl 0179.05502
[4] Ligh, Steve: On division near rings. Canad. J. Math.21, 1366-1371 (1969). · Zbl 0191.02903 · doi:10.4153/CJM-1969-151-5
[5] Ligh, Steve, B. McQuarrie, andO. Slotterbeck: On near fields. (To appear). · Zbl 0237.16027
[6] Malone, J. J.: Near rings with trivial multiplications. Amer. Math. Monthly74, 1111-1112 (1967). · Zbl 0153.35703 · doi:10.2307/2313630
[7] Maxson, C. J.: On finite near rings with identities. Amer. Math. Monthly74, 1228-1230 (1967). · Zbl 0153.35702 · doi:10.2307/2315674
[8] Neumann, B. H.: On the commutativity of addition. J. London Math. Soc.15, 203-208 (1940). · Zbl 0027.15401 · doi:10.1112/jlms/s1-15.3.203
[9] Szele, T.: Zur Theorie der Zeroringe. Math. Ann.121, 242-246 (1949). · Zbl 0034.31001 · doi:10.1007/BF01329628
[10] Zemmer, J. L.: The additive group of an infinite near field is abelian. J. London Math. Soc.44, 65-67 (1969). · Zbl 0174.32101 · doi:10.1112/jlms/s1-44.1.65
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