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arXiv · 1307.8247

Distributive lattices and the poset of pre-projective tilting modules

Ryoichi Kase
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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.

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Ryoichi Kase. 2013-07-31. Distributive lattices and the poset of pre-projective tilting modules. https://arxiv.org/abs/1307.8247

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