ISSN:
1588-2829
Keywords:
Primary 16A96
;
Secondary 16A56
;
D-strong
;
almostD-strong
;
prime ideal
;
strictly prime ideal
;
completely prime and completely semi-prime ideals
;
regular
;
strongly regular
;
2-primitive near-ring
;
G-radical
;
near-field
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper,D-strong and almostD-strong near-rings have been defined. It has been proved that ifR is aD-strongS-near ring, then prime ideals, strictly prime ideals and completely prime ideals coincide. Also ifR is aD-strong near-ring with identity, then every maximal right ideal becomes a maximal ideal and moreover every 2-primitive near-ring becomes a near-field. Several properties, chain conditions and structure theorems have also been discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01848224
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