Algebras with small homological dimensions
Algebras with small homological dimensions
复制标题
具有小同调维数的代数
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
M. Lanzilotta
中科院分区：
文献类型：
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作者：
F. U. Coelho;M. Lanzilotta
摘要：
我们考虑代数Λ满足这样的性质：对每个不可分解模X，要么它的投射维度PdΛX至多为1，要么它的内射维度idΛX至多1。这显然推广了Happl-Reiten-Smalø提出的所谓的拟倾斜代数。我们证明了后一类代数的一些最好的特征可以推广到我们所考虑的情况，特别是它的模范畴中存在三等分。
Abstract:
We consider the algebras Λ which satisfy the property that for each indecomposable module X, either its projective dimension pdΛX is at most one or its injective dimension idΛX is at most one. This clearly generalizes the so-called quasitilted algebras introduced by Happel–Reiten–Smalø. We show that some of the niciest features for this latter class of algebras can be generalized to the case we are considering, in particular the existence of a trisection in its module category.