A new view of relationship between atomic posets and complete (algebraic) lattices

Bin Yu; Qingguo Li; Huanrong Wu

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 238-251
  • ISSN: 2391-5455

Abstract

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In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.

How to cite

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Bin Yu, Qingguo Li, and Huanrong Wu. "A new view of relationship between atomic posets and complete (algebraic) lattices." Open Mathematics 15.1 (2017): 238-251. <http://eudml.org/doc/287974>.

@article{BinYu2017,
abstract = {In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.},
author = {Bin Yu, Qingguo Li, Huanrong Wu},
journal = {Open Mathematics},
keywords = {Atomic poset; C(D)-operator; Complete lattice; Algebraic lattice; Mutual decision; atomic poset; $C(D)$-operator; complete lattice; algebraic lattice; mutual decision},
language = {eng},
number = {1},
pages = {238-251},
title = {A new view of relationship between atomic posets and complete (algebraic) lattices},
url = {http://eudml.org/doc/287974},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Bin Yu
AU - Qingguo Li
AU - Huanrong Wu
TI - A new view of relationship between atomic posets and complete (algebraic) lattices
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 238
EP - 251
AB - In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
LA - eng
KW - Atomic poset; C(D)-operator; Complete lattice; Algebraic lattice; Mutual decision; atomic poset; $C(D)$-operator; complete lattice; algebraic lattice; mutual decision
UR - http://eudml.org/doc/287974
ER -

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