[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200013

PRIMENESS AND PRIMITIVITY IN NEAR-RINGS

Wendt, Gerhard (Department of Algebra Johannes Kepler Universitat)

Publication Information

Journal of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 309-326 More about this Journal

Abstract

In near-ring theory several different types of primitivity exist. These all imply several different types of primeness. In case of near-rings with DCCN most of the types of primeness are known to imply primitivity of a certain kind. We are able to show that also so called 1-prime near-rings imply 1-primitivity. This enables us to classify maximal ideals in near-rings with chain condition with the concept of 1-primeness which leads to further results in the structure theory of near-rings.

Keywords

1-prime near-rings; 1-primitive near-rings; maximal ideals; simple near-rings;

Citations & Related Records

Reference

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