SPECIAL RADICALS OF NEAR-RING MODULES
作者:
G.L. Booth,
N.J. Groenewald,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1992)
卷期:
Volume 15,
issue 2
页码: 127-137
ISSN:1607-3606
年代: 1992
DOI:10.1080/16073606.1992.9631679
出版商: Taylor & Francis Group
关键词: 16Y30;16N80
数据来源: Taylor
摘要:
Equiprime near-rings, which generalize the concept of prime-ness in rings, were defined by the present authors, together with S. Veldsman. This concept was shown in subsequent work to lead to a very satisfactory theory of special radicals for near-rings. In the current paper, we define equiprimeN-groups for a near-ringN. It is shown that an idealAofNis equiprime if and only if it is the annihilator of an equiprime TV-groupG.Special classes of near-ring modules are defined, and a module-theoretic characterization of special radicals of near-rings is established, similar to that given by Andrunakievich and Rjabuhin for special radicals of rings.
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