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A near ring analogue of a ring embedding theorem

✍ Scribed by J.J Malone Jr.

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
105 KB
Volume
16
Category
Article
ISSN
0021-8693

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Let N be a right near-ring with identity such that N, q is abelian. Because N enjoys the right distributive property, every right multiplication map on N is an Ž . endomorphism of N, q . The set of all right multiplication maps on N generates Ž . a ring ‫,ޒ‬ a subring of the ring End N . The structu

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Conversely, if y E 2, we have (32, E 9) (y + 2, A o + 2,). Therefore (y. 0) E C, i.e. y E ( a E A : (a, 0) E c).