Lattices of generating systems
Josef Dalík (1980)
Archivum Mathematicum
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Josef Dalík (1980)
Archivum Mathematicum
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Josef Dalík (1981)
Czechoslovak Mathematical Journal
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Bishop, Lisa, Killpatrick, Kendra (2007)
Integers
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Menon, Venu G. (2008)
International Journal of Mathematics and Mathematical Sciences
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Bordalo Gabriela, Caspard Nathalie, Monjardet Bernard (2009)
Czechoslovak Mathematical Journal
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In this paper we first study what changes occur in the posets of irreducible elements when one goes from an arbitrary Moore family (respectively, a convex geometry) to one of its lower covers in the lattice of all Moore families (respectively, in the semilattice of all convex geometries) defined on a finite set. Then we study the set of all convex geometries which have the same poset of join-irreducible elements. We show that this set—ordered by set inclusion—is a ranked join-semilattice...
Šešelja, Branimir, Tepavčević, Andreja (1996)
Novi Sad Journal of Mathematics
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Matveev, Andrey O. (2001)
International Journal of Mathematics and Mathematical Sciences
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