V. A. Baranskii, T. A. Koroleva, T. A. Senchonok, “On the partition lattice of all integers”, Sib. Èlektron. Mat. Izv., 2016, Volume 13,Pages <nobr>744

This article is cited in 7 papers

Mathematical logic, algebra and number theory

On the partition lattice of all integers

V. A. Baranskii^a, T. A. Koroleva^b, T. A. Senchonok^a

^a Ural Federal University, pr. Lenina, 51, 620083, Ekaterinburg, Russia
^b Yugorskiy State University

Abstract: The partition lattice of all integers introduced. The aim is to give a detailed construction of this lattice across all partition lattices of concrete integers and to give algorithms for finding the intersection and the union of elements in this lattice.

Keywords: integer partition, lattice, Ferrer’s diagram.

UDC: 519.116

MSC: 05A17

Received July 20, 2016, published September 28, 2016

DOI: 10.17377/semi.2016.13.060