Note on $\alpha $-filters in distributive nearlattices
Mathematica Bohemica, Tome 144 (2019) no. 3, pp. 241-250
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In this short paper we introduce the notion of $\alpha $-filter in the class of distributive nearlattices and we prove that the $\alpha $-filters of a normal distributive nearlattice are strongly connected with the filters of the distributive nearlattice of the annihilators.
DOI :
10.21136/MB.2018.0101-17
Classification :
03G10, 06A12, 06D50
Keywords: distributive nearlattice; annihilator; $\alpha $-filter
Keywords: distributive nearlattice; annihilator; $\alpha $-filter
@article{10_21136_MB_2018_0101_17,
author = {Calomino, Ismael},
title = {Note on $\alpha $-filters in distributive nearlattices},
journal = {Mathematica Bohemica},
pages = {241--250},
publisher = {mathdoc},
volume = {144},
number = {3},
year = {2019},
doi = {10.21136/MB.2018.0101-17},
mrnumber = {3985855},
zbl = {07088849},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0101-17/}
}
TY - JOUR AU - Calomino, Ismael TI - Note on $\alpha $-filters in distributive nearlattices JO - Mathematica Bohemica PY - 2019 SP - 241 EP - 250 VL - 144 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0101-17/ DO - 10.21136/MB.2018.0101-17 LA - en ID - 10_21136_MB_2018_0101_17 ER -
Calomino, Ismael. Note on $\alpha $-filters in distributive nearlattices. Mathematica Bohemica, Tome 144 (2019) no. 3, pp. 241-250. doi: 10.21136/MB.2018.0101-17
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