AbstractWe establish a homomorphism of finite linear lattices onto the Boolean lattices via a group acting on linear lattices. By using this homomorphism we prove the intersecting antichains in finite linear lattices satisfy an LYM-type inequality, as conjectured by Erdős, Faigle and Kern, and we state a Kruskal–Katona type theorem for the linear lattices
AbstractWe prove a vector space analog of a version of the Kruskal–Katona theorem due to Lovász. We ...
this paper we introduce an inductive construction for a symmetric chain decompostion of the lattice ...
AbstractWe give a short new proof of a version of the Kruskal–Katona theorem due to Lovász. Our meth...
AbstractWe establish a homomorphism of finite linear lattices onto the Boolean lattices via a group ...
AbstractIn a canonical way, we establish an AZ-identity (see [2]) and its consequences, the LYM-ineq...
Ahlswede R, Cai N. Incomparability and intersection properties of Boolean interval lattices and chai...
In a ranked partially ordered set (poset) [special characters omitted], an anti-chain [special chara...
In a ranked partially ordered set (poset) [special characters omitted], an anti-chain [special chara...
AbstractConsider the poset, ordered by inclusion, of subspaces of a four-dimensional vector space ov...
AbstractWe make a study of lattices representable by commuting equivalence relations, which we call ...
the notation and terminology for this paper. 1. PRELIMINARIES In this paper x, X, X1, Y, Z are sets....
AbstractLet P be a finite poset and G a group of automorphisms of P. The action of G on P can be use...
AbstractGeneralizing a result of Miyakawa, Nozaki, Pogosyan and Rosenberg, we prove that there exist...
AbstractA class of identities in the Grassmann–Cayley algebra which yields a large number of geometr...
summary:Let $\Bbb G$ and $\Bbb D$, respectively, denote the partially ordered sets of homomorphism c...
AbstractWe prove a vector space analog of a version of the Kruskal–Katona theorem due to Lovász. We ...
this paper we introduce an inductive construction for a symmetric chain decompostion of the lattice ...
AbstractWe give a short new proof of a version of the Kruskal–Katona theorem due to Lovász. Our meth...
AbstractWe establish a homomorphism of finite linear lattices onto the Boolean lattices via a group ...
AbstractIn a canonical way, we establish an AZ-identity (see [2]) and its consequences, the LYM-ineq...
Ahlswede R, Cai N. Incomparability and intersection properties of Boolean interval lattices and chai...
In a ranked partially ordered set (poset) [special characters omitted], an anti-chain [special chara...
In a ranked partially ordered set (poset) [special characters omitted], an anti-chain [special chara...
AbstractConsider the poset, ordered by inclusion, of subspaces of a four-dimensional vector space ov...
AbstractWe make a study of lattices representable by commuting equivalence relations, which we call ...
the notation and terminology for this paper. 1. PRELIMINARIES In this paper x, X, X1, Y, Z are sets....
AbstractLet P be a finite poset and G a group of automorphisms of P. The action of G on P can be use...
AbstractGeneralizing a result of Miyakawa, Nozaki, Pogosyan and Rosenberg, we prove that there exist...
AbstractA class of identities in the Grassmann–Cayley algebra which yields a large number of geometr...
summary:Let $\Bbb G$ and $\Bbb D$, respectively, denote the partially ordered sets of homomorphism c...
AbstractWe prove a vector space analog of a version of the Kruskal–Katona theorem due to Lovász. We ...
this paper we introduce an inductive construction for a symmetric chain decompostion of the lattice ...
AbstractWe give a short new proof of a version of the Kruskal–Katona theorem due to Lovász. Our meth...
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