Atlas home || Conferences | Abstracts | about Atlas

AAA63-Workshop on General Algebra (63. Arbeitstagung Allgemeine Algebra) combined with CYA17-Conference of Young Algebraists (17. Tagung junger Algebraiker)
February 22-24, 2002
University of Kaiserslautern, Department of Mathematics
Kaiserslautern, Germany

Organizers
Dietmar Schweigert

View Abstracts
Conference Homepage

Some Results on HyperK-algebras
by
R. A. Borzooei
Depertment of Mathematics, University of Sistan and Baluchestan, Zahedan,IRAN
Coauthors: M.M. Zahedi (Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, IRAN)

In this note we define first the notion of a bounded hyperK-algebra. Then we show that any hyperK-algebra can be extended to a bounded hyperK-algebra. Also we give some theorems which are shown that the product and union of two bounded hyperK-algebras are bounded hyperK-algebras too. After that by considering the hyperK-algebras which satisfy the hyperK-condition, we state and prove some related theorems. In particular we show that the union of two hyperK-algebras which satisfies the hyperK-condition does not satisfy the hyperK-condition in general.

Date received: January 19, 2002

Copyright © 2002 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 Conferences Inc. Document # caht-07.