FINITENESS PROPERTIES FOR THE PATH COALGEBRA ASSOCIATED TO A POSET
Journal Title: Journal of Science And Arts - Year 2011, Vol 14, Issue 1
Abstract
Let P be a partially ordered set (poset) locally finite and kQ the path coalgebra over a field k associated to P. In this paper we investigate finiteness properties of this coalgebra by using an injective morphism of coalgebras from incidence coalgebra kS of P to the path coalgebra kQ. We deduce that kQ is left semiperfect only if kS have the same property, and that kQ is cosemisimple when the order relation on P is the equality. Finally we characterize the coradical filtration of the path coalgebra.
Authors and Affiliations
VELICU GEORGIANA
Keywords
Related Articles
- EP ID EP139695
- DOI -
- Views 220
- Downloads 0
QUARTZ CRYSTAL MICROBALANCE: NANO-SENSOR FOR CYANIDE DETECTION
The extremely high level of potassium cyanide toxicity makes its effects to be important even in low concentrations. Quartz crystal microbalance (QCM) allows the determination of these values due to the high sensitivity...
A STUDY OF THE TEMPERATURE ON THE TiO2 THIN FILMS SURFACE DEPOSED ON GLASS IN THE MULTIPULSE IRRADIATION REGIME
This article is based on solving the heat equation in the particular case of thin films of TiO[sub]2[/sub] on glass base. The solution of the equation allows establishing the temperature on the film surface within the co...
ENVIRONMENTAL RESEARCHES - A WAY OF GUIDING HIGH SCHOOL STUDENTS TO SCIENTIFIC RESEARCH
An air quality study using lichens as biomonitors was done by involving of high school students. After a detailed describing of every stage of the research and their personal studies, they have participated on the select...
MAGNETIC BEHAVIOUR OF Co IN YCo4-xCuxB COMPOUNDS
The RCo4B compounds, where R is a rare-earth or yttrium crystallize in a hexagonal structure of CeCo4B-type. In this lattice, the R atoms are located in 1a and 1b sites, Co in 2c and 6i sites and B in 2d positions. The m...
INVESTIGATION OF OPTICAL PROPERTIES OF Sb<sub>2</sub>S<sub>3</sub> THIN FILMS
Thin films of SbS have been deposited by vacuum evaporation technique onto highly cleaned glass substrates under vacuum of the order 10 torr. The structure of the films was determined by their X-ray diffraction patterns...