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Lattices, Universal Algebra and Applications
May 28-30, 2003
Centro de Algebra da Universidade de Lisboa
Lisbon, Portugal

Organizers
Gabriela Bordalo, Isabel Ferreirim, Maria Joao Saramago, Luis Sequeira

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On the class of QS-algebras
by
Michiro Kondo
School of Information Environment, Tokyo Denki University, Japan

In this paper we consider the fundamental properties of QS-algebras and show that

  1. Every QS-algebra is p-semisimple ;

  2. Every QS-algebra is medial ;

  3. The class of QS-algebras coincides with the class of Abelian groups ;

  4. A G-part G(X) of a QS-algebra X is a normal subgroup generated by the class of all elements of order 2 of X when it is considered as a group.

Date received: February 17, 2003

Copyright © 2003 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 # cajs-08.