## Taiwanese Journal of Mathematics

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

### Minimal Ideals and Primitivity in Near-rings

#### 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