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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 12, Pages 84–86
(Mi ivm9064)
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This article is cited in 6 scientific papers (total in 6 papers)
Lattices generated by modular elements
M. P. Shushpanov Chair of Algebra and Discrete Mathematics, Ural Federal University,
19 Mira str., Ekaterinburg, 620002 Russia
Abstract:
We prove that the lattice generated by three modular elements is modular. For every $n>3$ we construct a nonmodular lattice $L$ generated by $n$ elements each of which is modular in $L$.
Keywords:
modular lattice, modular element.
Received: 11.06.2014
Citation:
M. P. Shushpanov, “Lattices generated by modular elements”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 12, 84–86; Russian Math. (Iz. VUZ), 59:12 (2015), 73–75
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https://www.mathnet.ru/eng/ivm9064 https://www.mathnet.ru/eng/ivm/y2015/i12/p84
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Abstract page: | 171 | Full-text PDF : | 57 | References: | 26 | First page: | 4 |
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