3-Generated lattices close to distributive ones
Algebra i logika, Tome 62 (2023) no. 4, pp. 504-523
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Lattices are considered in which, instead of distributive identities, a ‘gap’ of length at most 1 is allowed between the right and left parts of each distributivity relation. Such lattices are said to be close to distributive ones. Although this property is weaker than distributivity, nevertheless a 3-generated lattice with this property is also finite.
Keywords:
weakened condition for distributivity, 3-generated lattice, finiteness of nonmodular lattice.
@article{AL_2023_62_4_a3,
author = {A. G. Gein and I. D. Maslintsyn and K. E. Maslintsyna and K. V. Selivanov},
title = {3-Generated lattices close to distributive ones},
journal = {Algebra i logika},
pages = {504--523},
publisher = {mathdoc},
volume = {62},
number = {4},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2023_62_4_a3/}
}
TY - JOUR AU - A. G. Gein AU - I. D. Maslintsyn AU - K. E. Maslintsyna AU - K. V. Selivanov TI - 3-Generated lattices close to distributive ones JO - Algebra i logika PY - 2023 SP - 504 EP - 523 VL - 62 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AL_2023_62_4_a3/ LA - ru ID - AL_2023_62_4_a3 ER -
A. G. Gein; I. D. Maslintsyn; K. E. Maslintsyna; K. V. Selivanov. 3-Generated lattices close to distributive ones. Algebra i logika, Tome 62 (2023) no. 4, pp. 504-523. http://geodesic.mathdoc.fr/item/AL_2023_62_4_a3/