A Lattice of Homomorphs.
Graham J. Wood (1973)
Mathematische Zeitschrift
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Graham J. Wood (1973)
Mathematische Zeitschrift
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Graham J.O. Jameson (1967)
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Yuri A. Abramovich (1988/89)
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Anthony L. Peressini (1970)
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G.F Haddix, J., Vinograde, B. Mordeson (1969)
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Manfred Wolff (1978/79)
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H.H. Schaefer (1986)
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Wolfgang Arendt (1984)
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Sándor Radeleczki (2002)
Discussiones Mathematicae - General Algebra and Applications
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...
A. Bigard, P. Conrad, S. Wolfenstein (1968)
Mathematische Zeitschrift
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