$G$-supplemented property in the lattices
Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 525-545
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Let $L$ be a lattice with the greatest element $1$. Following the concept of generalized small subfilter, we define $g$-supplemented filters and investigate the basic properties and possible structures of these filters.
DOI :
10.21136/MB.2022.0124-20
Classification :
06C05, 06C15
Keywords: filter; $g$-small; $g$-supplemented; lattice
Keywords: filter; $g$-small; $g$-supplemented; lattice
@article{10_21136_MB_2022_0124_20,
author = {Ebrahimi Atani, Shahabaddin},
title = {$G$-supplemented property in the lattices},
journal = {Mathematica Bohemica},
pages = {525--545},
publisher = {mathdoc},
volume = {147},
number = {4},
year = {2022},
doi = {10.21136/MB.2022.0124-20},
mrnumber = {4512172},
zbl = {07655825},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0124-20/}
}
TY - JOUR AU - Ebrahimi Atani, Shahabaddin TI - $G$-supplemented property in the lattices JO - Mathematica Bohemica PY - 2022 SP - 525 EP - 545 VL - 147 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0124-20/ DO - 10.21136/MB.2022.0124-20 LA - en ID - 10_21136_MB_2022_0124_20 ER -
Ebrahimi Atani, Shahabaddin. $G$-supplemented property in the lattices. Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 525-545. doi: 10.21136/MB.2022.0124-20
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