Power-ordered sets
Martin R. Goldstern; Dietmar Schweigert
Discussiones Mathematicae - General Algebra and Applications (2002)
- Volume: 22, Issue: 1, page 39-46
- ISSN: 1509-9415
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Abstract
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topMartin R. Goldstern, and Dietmar Schweigert. "Power-ordered sets." Discussiones Mathematicae - General Algebra and Applications 22.1 (2002): 39-46. <http://eudml.org/doc/287611>.
@article{MartinR2002,
abstract = {We define a natural ordering on the power set 𝔓(Q) of any finite partial order Q, and we characterize those partial orders Q for which 𝔓(Q) is a distributive lattice under that ordering.},
author = {Martin R. Goldstern, Dietmar Schweigert},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {partial order; chain; linear order; antichain; power set; power-ordered set; distributive lattice; anti-automorphism},
language = {eng},
number = {1},
pages = {39-46},
title = {Power-ordered sets},
url = {http://eudml.org/doc/287611},
volume = {22},
year = {2002},
}
TY - JOUR
AU - Martin R. Goldstern
AU - Dietmar Schweigert
TI - Power-ordered sets
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2002
VL - 22
IS - 1
SP - 39
EP - 46
AB - We define a natural ordering on the power set 𝔓(Q) of any finite partial order Q, and we characterize those partial orders Q for which 𝔓(Q) is a distributive lattice under that ordering.
LA - eng
KW - partial order; chain; linear order; antichain; power set; power-ordered set; distributive lattice; anti-automorphism
UR - http://eudml.org/doc/287611
ER -
References
top- [1] J.C. Abbott, Sets, Lattices and Boolean Algebras, Allyn & Bacon, Inc., Boston, MA, 1969. Zbl0222.06001
- [2] J. Naggers and H.S. Kim, Basic Posets, World Scientific Publ. Co., River Edge, NJ, 1998.
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