Geodesic
Finitely generated lattices with $M$-standard elements among generators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 18-22

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We prove that a lattice is modular if it is generated by three elements, two of which are $M$-standard. We also show that a lattice generated by $n$, $n>3$, $M$-standard elements must not necessarily be modular.
Keywords: modular lattice, left-modular element, right-modular element, $M$-standard element. 
@article{IVM_2016_3_a1,
     author = {A. G. Gein},
     title = {Finitely generated lattices with $M$-standard elements among generators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {18--22},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_3_a1/}
}
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A. G. Gein. Finitely generated lattices with $M$-standard elements among generators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 18-22. http://geodesic.mathdoc.fr/item/IVM_2016_3_a1/