Dimensions of finite type for representations of partially ordered sets

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Authors: Drozd, Y.A., Kubichka, E.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156411
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dimensions of finite type for representations of partially ordered sets / Y.A. Drozd, E.A. Kubichka // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 21–37. — Бібліогр.: 13 назв. — англ.

We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a dimension to be of finite type. We also characterize those dimensions of finite ty...