Algebras and Representation Theory

, Volume 16, Issue 5, pp 1469–1487 | Cite as

Semi-tilting Modules and Mutation

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Abstract

We introduce the notion of semi-tilting modules and show that the class of basic semi-tilting modules is closed under mutation. Using this, we provide a partial answer to the Wakamatsu tilting conjecture. Also, we define a partial order on the set of equivalence classes of semi-tilting modules and show that this order is closely related to mutation for semi-tilting modules.

Keywords

Tilting module Wakamatsu tilting module Mutation 

Mathematics Subject Classifications (2010)

Primary 16E10 16G30; Secondary 16E35 
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© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of TsukubaIbarakiJapan

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