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所有τ-刚性模是投射模的代数
On algebras with all τ-rigid modules projective

DOI: 10.6040/j.issn.1671-9352.0.2015.185

Keywords: 单模,τ-刚性模,根平方为零的代数,
τ-rigid modules
,algebras with radical square zero,simple modules

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Abstract:

摘要: 给出了某类特殊的代数上利用单模构造不可分解τ-刚性模的方法。并由此得出所有τ-刚性模是投射模的根平方为零的本原的不可分解代数是局部代数。
Abstract: For a special class of algebras, a method on constructing indecomposable τ-rigid modules from simple modules is given. As a result, it is proved that a basic and connected algebra A with radical square zero is local if all τ-rigid A-modules are projective

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