Path Coalgebras of Quivers with Relations and a Tame-Wild Dichotomy Problem for Coalgebras

2004 ◽  
Author(s):  
Daniel Simson
Keyword(s):  
Path Coalgebras

scholarly journals On path coalgebras of quivers with relations

2005 ◽  
Vol 102 (1) ◽  
pp. 49-65 ◽  
Author(s):  
Pascual Jara ◽  
Luis M. Merino ◽  
Gabriel Navarro
Keyword(s):  
Path Coalgebras

scholarly journals Quivers of Bound Path Algebras and Bound Path Coalgebras

2010 ◽  
Vol 42 (2) ◽  
pp. 153-162
Author(s):  
Intan Muchtadi ◽  
Hanni Garminia
Keyword(s):  
Path Algebras ◽  
Path Coalgebras

scholarly journals Quiver algebras, path coalgebras and coreflexivity

2013 ◽  
Vol 262 (1) ◽  
pp. 49-79 ◽  
Author(s):  
Sorin Dăscălescu ◽  
Miodrag Iovanov ◽  
Constantin Năstăsescu
Keyword(s):  
Path Coalgebras

scholarly journals HEREDITARY AND PATH COALGEBRAS

2002 ◽  
Vol 30 (4) ◽  
pp. 1829-1831 ◽  
Author(s):  
William Chin
Keyword(s):  
Path Coalgebras

Localization in Coalgebras. Stable Localizations and Path Coalgebras

2006 ◽  
Vol 34 (8) ◽  
pp. 2843-2856 ◽  
Author(s):  
P. Jara ◽  
L. Merino ◽  
G. Navarro ◽  
J. F. Ruiz
Keyword(s):  
Path Coalgebras

S-Hopf Quivers and Semilattice Graded Weak Hopf Algebras

2013 ◽  
Vol 20 (01) ◽  
pp. 109-122
Author(s):  
Haijun Cao
Keyword(s):  
Hopf Algebras ◽  
Main Work ◽  
Pointed Hopf Algebras ◽  
New Ideas ◽  
Path Coalgebras ◽  
Weak Hopf Algebras

The main work of this article is to give a construction of semilattice graded weak Hopf algebras via S-Hopf quivers, mainly based on the work of Cibils, Rosso, and Montgomery. This provides a class of non-commutative and non-cocommutative pointed semilattice graded weak Hopf algebras: they have the natural bases consisting of paths and the underlying coalgebra structures are path coalgebras. It also provides a new way of verifying old results and testing new ideas on pointed Hopf algebras, such as the decomposition of pointed semilattice graded weak Hopf algebras according to the result of Montgomery.

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