Minimal inclusions of torsion classes
作者： Emily Barnard , Andrew Carroll , Shijie Zhu
DOI: 10.5802/ALCO.72
关键词:
摘要: Let $\Lambda$ be a finite-dimensional associative algebra. The torsion classes of $mod\, \Lambda$ form lattice under containment, denoted by $tors\, \Lambda$. In this paper, we characterize the cover relations in certain indecomposable modules. We consider three applications: First, show that completely join-irreducible (torsion which precisely one element) are bijection with bricks. Second, faces canonical join complex terms representation theory. Finally, that, general, algebra is not characterized its particular, study theory quotient preprojective type $A_n$. class isomorphic to weak order on
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