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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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Generalized abelian nearrings - pseudo-nearrings
by
Kazimierz Głazek
Zielona Gáora
Coauthors: A. Chwastyk (Opole)

We consider a slight generalization of the notion of nearring with commutative addition. Our concept is based on the notion of the * -associative quasigroup (recently considered by us). An algebra (A, +, ·, * , \epsilon) of type (2, 2, 1, 0) is said to be pseudo-nearring if (A, +, * ) is a groupoid with involution, (A, ·) is a semigroup, multiplication is right distributive with respect to addition and the following conditions are fulfilled:

Date received: June 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caee-96.