On finiteness of $3$-generated lattice with left modular and separating elements among generators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 92-94
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We prove that a $3$-generated lattice with modular and separating generators contains at most fourty seven elements. This estimate is stated to be sharp.
Keywords:
lattice, left modular element, separating element, defining relation.
@article{IVM_2019_5_a8,
author = {M. P. Shushpanov},
title = {On finiteness of $3$-generated lattice with left modular and separating elements among generators},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {92--94},
publisher = {mathdoc},
number = {5},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2019_5_a8/}
}
TY - JOUR AU - M. P. Shushpanov TI - On finiteness of $3$-generated lattice with left modular and separating elements among generators JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2019 SP - 92 EP - 94 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2019_5_a8/ LA - ru ID - IVM_2019_5_a8 ER -
M. P. Shushpanov. On finiteness of $3$-generated lattice with left modular and separating elements among generators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 92-94. http://geodesic.mathdoc.fr/item/IVM_2019_5_a8/