Results 31 to 40 of about 116 (68)

The Match Set of a Random Permutation Has the FKG Property [PDF]

, 1988
We prove a conjecture of Joag-Dev and Goel that if M = M(σ) = {i: σ(i) = i} is the (random) match set, or set of fixed points, of a random permutation σ of 1,2,…,n, then f(M) and g(M) are positively correlated whenever f and g are increasing real-valued ...
Doyle, Peter G, Fishburn, Peter C, Shepp, Larry A   +2 more
core   +2 more sources

On Fuzzy Ideals of Subtraction Algebras

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2013
: In this paper, we introduce the notion of fuzzy interior ideal, fuzzy bi-ideal, intuitionistic fuzzy interior ideal and intuitionistic fuzzy bi-ideal of a subtraction semigroup.
Yılmaz Çeven, Zekiye Çiloğlu
doaj  

Sperner theorems for unrelated copies of some partially ordered sets in a powerset lattice and minimum generating sets of powers of distributive lattices

, 2023
For a finite poset (partially ordered set) $U$ and a natural number $n$, let Sp$(U,n)$ denote the largest number of pairwise unrelated copies of $U$ in the powerset lattice (AKA subset lattice) of an $n$-element set.
Czédli, Gábor
core  

Generating Boolean lattices by few elements and exchanging session keys

, 2023
Let Sp($k$) denote the number of the $\lfloor k/2\rfloor$-element subsets of a finite $k$-element set. We prove that the least size of a generating subset of the Boolean lattice with $n$ atoms (or, equivalently, the powerset lattice of an $n$-element set)
Czédli, Gábor
core  

Lattice of closure endomorphisms of a Hilbert algebra

, 2017
A closure endomorphism of a Hilbert algebra A is a mapping that is simultaneously an endomorphism of and a closure operator on A. It is known that the set CE of all closure endomorphisms of A is a distributive lattice where the meet of two elements is ...
Cīrulis, Jānis
core  

Zero-divisor graphs of nilpotent-free semigroups

, 2012
We find strong relationships between the zero-divisor graphs of apparently disparate kinds of nilpotent-free semigroups by introducing the notion of an \emph{Armendariz map} between such semigroups, which preserves many graph-theoretic invariants. We use
B.A. Davey, D.F. Anderson, D.F. Anderson, E.P. Armendariz, F.R. DeMeyer, G. Kemper, I. Beck, J.J. Watkins, M. Behboodi, M. Behboodi, N. Levine, Neil Epstein, P. Nasehpour, Peyman Nasehpour, S. Spiroff, S.B. Mulay, S.M. Bhatwadekar, W. Dunham   +17 more
core   +1 more source

Minimum-sized generating sets of the direct powers of the free distributive lattice on three generators and a Sperner theorem

, 2023
Let FD(3) denote the free distributive lattice on three generators. For each positive integer $k$, we determine the minimum size $m$ of a generating set of the $k$-th direct power FD(3)$^k$ of FD(3) up to ``accuracy $1/2$'' in the sense that we can give ...
Czédli, Gábor
core  

Monadic Wajsberg hoops [PDF]

, 2016
Wajsberg hoops are the { , →, 1}-subreducts (hoop-subreducts) of Wajsberg algebras, which are term equivalent to MV-algebras and are the algebraic models of Lukasiewicz infinite-valued logic.
Cimadamore, Cecilia Rossana, Díaz Varela, José Patricio   +1 more
core  

Remarks on affine complete distributive lattices

Open Mathematics, 2006
Zypen Dominic
doaj   +1 more source

Lie algebras with a finite number of ideals [PDF]

, 2022
Benito, null, Roldán-López, null
core   +1 more source