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This article is cited in 7 scientific papers (total in 7 papers)
Mathematical logic, algebra and number theory
On the partition lattice of all integers
V. A. Baranskiia, T. A. Korolevab, T. A. Senchonoka 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.
Received July 20, 2016, published September 28, 2016
Citation:
V. A. Baranskii, T. A. Koroleva, T. A. Senchonok, “On the partition lattice of all integers”, Sib. Èlektron. Mat. Izv., 13 (2016), 744–753
Linking options:
https://www.mathnet.ru/eng/semr710 https://www.mathnet.ru/eng/semr/v13/p744
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Abstract page: | 281 | Full-text PDF : | 66 | References: | 51 |
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