Open AccessRepresentation of slim lattice by poset
Author(s) -
Marijana Gorjanac-Ranitović,
Andreja Tepavčević
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103919r
Subject(s) - partially ordered set , mathematics , lattice (music) , generalization , combinatorics , complete lattice , representation (politics) , pure mathematics , discrete mathematics , algebra over a field , condensed matter physics , mathematical analysis , physics , universality (dynamical systems) , acoustics , politics , political science , law
In this paper, we present the necessary and sufficient conditions for a poset to be a poset of the union of join and meet irreducible elements of the slim lattice. Slim lattices are special finite lattices that are intensively investigated recently. The problem that we solved in this paper is a generalization of the problem proposed very recently by Cz?dli.