We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-7, author = {Justyna Kosakowska}, title = {Ringel-Hall algebras of hereditary pure semisimple coalgebras}, journal = {Colloquium Mathematicae}, volume = {116}, year = {2009}, pages = {65-85}, zbl = {1192.16031}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-7} }
Justyna Kosakowska. Ringel-Hall algebras of hereditary pure semisimple coalgebras. Colloquium Mathematicae, Tome 116 (2009) pp. 65-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-7/