On the class of Q S -algebras

Michiro Kondo

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-11

Abstract:

We consider some fundamental properties of Q S -algebras and show that (1) the theory of Q S -algebras is logically equivalent to the theory of Abelian groups , that is, each theorem of Q S -algebras is provable in the theory of Abelian groups, and conversely, each theorem of Abelian groups is provable in the theory of Q S -algebras; and (2) a G -part G ( X ) of a Q S -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: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:363487

DOI: 10.1155/S0161171204309154

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