Taiwanese Journal of Mathematics

Minimal Ideals and Primitivity in Near-rings

Gerhard Wendt

Full-text: Open access

Abstract

We address and answer the question when a minimal ideal of a zero symmetric near-ring is a primitive near-ring. This implies that a minimal ideal of a zero symmetric near-ring is a simple near-ring in many natural situations.

Article information

Source
Taiwanese J. Math., Volume 23, Number 4 (2019), 799-820.

Dates
Received: 27 August 2018
Revised: 4 December 2018
Accepted: 10 December 2018
First available in Project Euclid: 18 July 2019

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1563436869

Digital Object Identifier
doi:10.11650/tjm/181206

Mathematical Reviews number (MathSciNet)
MR3982062

Zentralblatt MATH identifier
07088948

Subjects
Primary: 16Y30: Near-rings [See also 12K05]

Keywords
simple near-rings primitive near-rings left ideals minimal ideals subdirect irreducibility

Citation

Wendt, Gerhard. Minimal Ideals and Primitivity in Near-rings. Taiwanese J. Math. 23 (2019), no. 4, 799--820. doi:10.11650/tjm/181206. https://projecteuclid.org/euclid.twjm/1563436869


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References

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