Some remarks on dualisability and endodualisability |
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Authors: | MJ Saramago |
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Institution: | Departamento de Matemática, Faculdade de Ciencias, Universidade de Lisboa, P-1749-016 Lisboa, Portugal?and?Centro de álgebra da Universidade de Lisboa, Av. PRof. Gama Pinto 2, P-1699 Lisboa Codex, Portugal, e-mail: matjoao@ptmat.lmc.fc.ul.pt, PT
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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.
Received January 27, 1999; accepted in final form September 17, 1999. |
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Keywords: | and phrases: natural duality dualisability endodualisability |
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