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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, 2009, roč.~32, č.~3, s.~281-295. ISSN~1607-3606.
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