The Additive Group of an Infinite Near-Field is Abelian

DOI10.1112/jlms/s1-44.1.65zbMath0174.32101OpenAlexW2049112390MaRDI QIDQ5562657

Joseph L. Zemmer

Publication date: 1969

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s1-44.1.65

Mathematics Subject Classification ID

Near-fields (12K05)

Related Items (11)

Near-rings in which each element is a power of itself ⋮ Generalized cocommutativity of some Hopf algebras and their relationship with finite fields ⋮ Centres for near-rings: applications to commutativity theorems ⋮ Automorphismen Dicksonscher Fastkörperpaare mit kleiner Dicksongruppe ⋮ The sheaf representation of near-rings and its applications ⋮ Automated Deduction in Ring Theory ⋮ Near rings with identities on certain groups ⋮ SOME SMALL-SQUARING PROPERTIES FOR NEAR-RINGS ⋮ Set-theoretic solutions to the Yang–Baxter equation, skew-braces, and related near-rings ⋮ Zur Theorie der (nicht notwendig assoziativen) Fastringe ⋮ On commutativity of periodic rings and near-rings

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