The Variety of Near-Rings is Generated by Its Finite Members |
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Authors: | Erhard Aichinger |
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Institution: | (1) Johannes Kepler Universität Linz, Austria |
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Abstract: | We show that the variety of near-rings and the variety of zero-symmetric near-rings are both generated by their finite members. We show this in a more general context: if a variety
is generated by a class of algebras
, then the variety of
-composition algebras is generated by the class of all full function algebras on direct products of finitely many copies of algebras in
. |
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Keywords: | 2000 Mathematics Subject Classifications: 16Y30 03C05 08B05 |
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