Abstract.
The fundamental problem of dualisability and the particular problem of endodualisability are discussed. It is proved tha every finite generating algebra of a quasi-variety generated by a finite dualisable algebra D is also dualisable. The corresponding result for endodualisability is true when D is subdirectly irreducible. Under special conditions, it is also proved that a finite algebra M is endodualisable if and only if any finite power M n of M is endodualisable.
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Received January 27, 1999; accepted in final form September 17, 1999.
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Saramago, M. Some remarks on dualisability and endodualisability. Algebra univers. 43, 197–212 (2000). https://doi.org/10.1007/s000120050153
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DOI: https://doi.org/10.1007/s000120050153