A criterion for a finite endoprimal algebra to be endodualisable |
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| Authors: | M Haviar HA Priestley |
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| Institution: | (1) School of Mathematics La Trobe University Bundoora, Victoria 3083 Australia and Department of Mathematics M. Bel University 974 01 Bansk\'a Bystrica Slovakia., e-mail: haviar@bb.sanet.sk, , SK;(2) Mathematical Institute, 24/29 St Giles, Oxford OX1 3LB., UK., e-mail: hap@maths.ox.ac.uk, , UK |
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| Abstract: | In this note the strategy for finding endoprimal algebras due to B. A. Davey and J. G. Pitkethly is further explored
in the finite case. The Retraction Test Algebra Lemma is used as a tool to show that, in many quasivarieties, endoprimality
is equivalent to endodualisability for finite algebras which are suitably related to finitely generated free algebras.
Received September 2, 1998; accepted in final form June 3, 1999. |
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| Keywords: | and phrases: Natural duality endodualisable algebra endoprimal algebra |
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