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@article{854532,
author = {Paseka, Jan},
article_number = {3},
keywords = {BIFRAME; K-FLAT PROJECTIVITY; K-FLAT PROJECTIVE BIFRAME; K-COMONAD; K-COHERENT BIFRAME},
language = {eng},
issn = {1607-3606},
journal = {Quaestiones Mathematicae},
title = {Projective Biframes: A General View},
url = {http://www.nisc.co.za/oneAbstract?absId=3213},
volume = {32},
year = {2009}
}
TY - JOUR
ID - 854532
AU - Paseka, Jan
PY - 2009
TI - Projective Biframes: A General View
JF - Quaestiones Mathematicae
VL - 32
IS - 3
SP - 281-295
EP - 281-295
PB - NISC Pty Ltd
SN - 16073606
KW - BIFRAME
KW - K-FLAT PROJECTIVITY
KW - K-FLAT PROJECTIVE BIFRAME
KW - K-COMONAD
KW - K-COHERENT BIFRAME
UR - http://www.nisc.co.za/oneAbstract?absId=3213
N2 - We begin with the notion of K-flat projectivity. For each biframe L we then introduce a binary relation pod_L on it. The K-flat projective biframes are exactly such biframes with each element a of the total (first, second) part approximated by the elements x of the total (first, second) part, x pod_L a and the relation pod_L being stable wrt. the meet operation on L. Further on, we introduce the notion of a K-comonad and characterize K-flat projective biframes as those biframes having a coalgebra structure for the K-comonad. The K-coherent biframes and K-flat projective biframes are coreflective in all biframes.
ER -
PASEKA, Jan. Projective Biframes: A General View. \textit{Quaestiones Mathematicae}. NISC Pty Ltd, roč.~32, č.~3, s.~281-295. ISSN~1607-3606. 2009.
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