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Hjelmslev planes over nearrings

✍ Scribed by Emanuel Kolb

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 447 KB
Volume: 155
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00378-v

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✦ Synopsis

In this paper the notion of an H-nearring and an AH-nearring is defined as specialisations of a PK-nearring, which was introduced by Kolb (forthcoming). With the help of H-and AH-nearrings analytical models of projective and affine Hjelmslev planes are constructed. In the distributive case the notion of an H-or AH-nearring and an H-or AH-ring coincide. Finally, some propositions about the endomorphism semigroup of an AK-plane over a PKnearring are presented.

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