Distributive lattices and the poset of pre-projective tilting modules
Rings and Algebras
2013-08-01 v1
Abstract
D.Happel and L.Unger defined a partial order on the set of basic tilting modules. We study the poset of basic pre-projective tilting modules over path algebra of infinite type. We give an equivalent condition for that this poset is a distributive lattice. We also give an equivalent condition for that a distributive lattice is isomorphic to the poset of basic pre-projective tilting modules over a path algebra of representation infinite type.
Keywords
Cite
@article{arxiv.1307.8247,
title = {Distributive lattices and the poset of pre-projective tilting modules},
author = {Ryoichi Kase},
journal= {arXiv preprint arXiv:1307.8247},
year = {2013}
}
Comments
21pages