On idempotent elements in certain associative algebras
A. R. Blass, L. Falcao, Č. V. Stanojević (1970)
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A. R. Blass, L. Falcao, Č. V. Stanojević (1970)
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Litvinov, G.L. (2005)
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J. Płonka (1973)
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Robert W. Quackenbush (1974)
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This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.
David Stanovsky (2009)
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Jaroslav Ježek (2004)
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The idempotent modification of a group is always a subdirectly irreducible algebra.