E-near rings

S. Feigelstock

doi:10.1007/s00013-002-8225-1

E-near rings

S. Feigelstock

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

If R is a left near-ring in which all endomorphisms of R⁺ are given by a_l: x → ax (with a, x ∈ R) then (R, +) is shown to be abelian. If also a_l = b_l implies a = b, then R is even a ring.

Original language	English
Pages (from-to)	124-125
Number of pages	2
Journal	Archiv der Mathematik
Volume	78
Issue number	2
DOIs	https://doi.org/10.1007/s00013-002-8225-1
State	Published - 1 Feb 2002

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abstract = "If R is a left near-ring in which all endomorphisms of R+ are given by al: x → ax (with a, x ∈ R) then (R, +) is shown to be abelian. If also al = bl implies a = b, then R is even a ring.",

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E-near rings

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