Τ-tilting通过简单扩展的模块

Zhi-wei Li, Xiaojin Zhang
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引用次数: 3

摘要

我们研究(支持)[公式:见文本]-在有限维代数的平凡扩展上的倾斜模块。更准确地说,我们用伴随函子构造了两类(支持)[公式:见文]-倾斜模,这两类(支持)[公式:见文]-倾斜模扩展和推广了(支持)[公式:见文]-倾斜模在三角形矩阵环上的结果。
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Τ-tilting Modules over Trivial Extensions
We study (support) [Formula: see text]-tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support)[Formula: see text]-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) [Formula: see text]-tilting modules over triangular matrix rings given by Gao-Huang.
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